Important Questions Class 7 Maths Part 2 Chapter 5: Connecting the Dots

Important Questions Class 7 Maths Part 2 Chapter 5 focus on statistics, the study of collecting, organising, analysing, and presenting data. Students use mean, median, dot plots, outliers, and double bar graphs to compare real data from scores, prices, heights, and surveys.

Data becomes useful when students learn to ask the right question and read patterns from values. Important Questions Class 7 Maths Part 2 Chapter 5 help students practise statistical questions, arithmetic mean, median, outliers, dot plots, and double bar graphs. The NCERT 2026 chapter uses cricket scores, onion prices, family heights, daylight hours, rocket launches, and class surveys to build data interpretation.

Key Takeaways

• Statistical Question: A statistical question needs data collection because the answer can vary.
• Arithmetic Mean: Mean = Sum of all values ÷ Number of values.
• Median: Median is the middle value after arranging data in order.
• Outlier: An outlier differs sharply from most values in a data set.

Important Questions Class 7 Maths Part 2 Chapter 5 Structure 2026

Important Questions Class 7 Maths Part 2 Chapter 5 with Answers

Data questions in Connecting the Dots ask students to decide whether a situation needs data, calculation, or graph reading.
Students must read the context first, then choose mean, median, dot plot, or graph interpretation.
These class 7 maths part 2 chapter 5 important questions follow the NCERT 2026 pattern for statistical thinking.

1. What does Important Questions Class 7 Maths Part 2 Chapter 5 test in Connecting the Dots?

Important Questions Class 7 Maths Part 2 Chapter 5 test mean, median, outliers, dot plots, and double bar graphs. The chapter also checks whether students can justify statements from data.

1. Main Skill: Read data and identify patterns.
2. Calculation Skill: Find mean, median, range, and comparisons.
3. Graph Skill: Interpret dot plots and double bar graphs.
4. Final Result: The chapter tests data analysis and interpretation.

2. Which questions are statistical questions: price of a tennis ball, age of dogs, and rainfall pattern?

The age of dogs and rainfall pattern are statistical questions. They need data collection because values can vary.

1. Question A: What is the price of a tennis ball in India?
   This can have one market-based answer.
2. Question B: How old are the dogs that live on this street?
   This needs age data from several dogs.
3. Question C: What was the rainfall pattern in Barmer last year?
   This needs daily or monthly rainfall data.
4. Final Result: Questions B and C are statistical questions.

3. Why is “Do you like reading?” not a statistical question?

“Do you like reading?” is not a statistical question when asked to one person. It gives one personal response.

1. Given Data: The question asks one person’s preference.
2. Statistical Rule: A statistical question expects variability.
3. Correct Version: How many students in your class like reading?
4. Final Result: The original question is not statistical.

Class 7 Maths Chapter 5 Connecting the Dots Important Questions on Mean

Mean is used when one equal-share value can represent a data set.
NCERT explains mean through cricket scores, guavas, flowers, running times, and enrolment.
These class 7 maths chapter 5 connecting the dots important questions focus on correct totals, correct counts, and fair comparison.

4. How do you find Shreyas’s average bounces from 6, 2, 9, 5, 4, 6, 3, 5?

Shreyas’s average number of bounces is 5. The mean balances all eight attempts into one equal-share value.

1. Given Data: 6, 2, 9, 5, 4, 6, 3, 5
2. Formula Used: Mean = Sum of values ÷ Number of values
3. Calculation:
   Sum = 6 + 2 + 9 + 5 + 4 + 6 + 3 + 5 = 40
   Number of values = 8
   Mean = 40 ÷ 8 = 5
4. Final Result: Average number of bounces = 5.

5. What is the average number of Hibiscus flowers for 2, 7, 9, 4, 3?

The average number of Hibiscus flowers is 5 flowers per day. The mean shows the equal daily count.

1. Given Data: 2, 7, 9, 4, 3
2. Formula Used: Mean = Sum of values ÷ Number of values
3. Calculation:
   Sum = 2 + 7 + 9 + 4 + 3 = 25
   Number of days = 5
   Mean = 25 ÷ 5 = 5
4. Final Result: Average = 5 flowers per day.

6. Who ran quicker on average, Nikhil or Sunil?

Nikhil and Sunil ran equally on average. Their total time and number of runs are both equal.

1. Given Data:
   Nikhil: 17, 18, 17, 16, 19, 17, 18
   Sunil: 20, 18, 18, 17, 16, 16, 17
2. Formula Used: Mean = Sum of values ÷ Number of values
3. Calculation:
   Nikhil’s sum = 122
   Nikhil’s mean = 122 ÷ 7 = 17.43 seconds
   Sunil’s sum = 122
   Sunil’s mean = 122 ÷ 7 = 17.43 seconds
4. Final Result: Both runners have the same average time.

7. What is the mean enrolment for 1555, 1670, 1750, 2013, 2040, 2126?

The mean enrolment is 1859. The total enrolment across six years is divided by 6.

1. Given Data: 1555, 1670, 1750, 2013, 2040, 2126
2. Formula Used: Mean = Sum of values ÷ Number of values
3. Calculation:
   Sum = 1555 + 1670 + 1750 + 2013 + 2040 + 2126 = 11154
   Mean = 11154 ÷ 6 = 1859
4. Final Result: Mean enrolment = 1859 students.

Class 7 Maths Chapter 5 Mean Median Questions

Mean and median can describe the same data in different ways.
NCERT shows this through family heights, newspaper pages, story counts, and outliers.
These class 7 maths chapter 5 mean median questions help students decide which value represents the data better.

8. How do you find the median of Poovizhi’s family heights: 170, 173, 165, 118, 175?

The median height is 170 cm. The middle value comes after sorting the data.

1. Given Data: 170, 173, 165, 118, 175
2. Formula Used: Median = Middle value of sorted data
3. Calculation:
   Sorted data = 118, 165, 170, 173, 175
   Middle value = 170
4. Final Result: Median height = 170 cm.

9. How do you find the median of Yaangba’s family heights: 169, 173, 155, 165, 160, 164?

The median height is 164.5 cm. An even number of values needs the average of two middle values.

1. Given Data: 169, 173, 155, 165, 160, 164
2. Formula Used: Median = Average of two middle values
3. Calculation:
   Sorted data = 155, 160, 164, 165, 169, 173
   Middle values = 164 and 165
   Median = (164 + 165) ÷ 2 = 164.5
4. Final Result: Median height = 164.5 cm.

10. Why does the 118 cm height change Poovizhi’s mean more than the median?

The 118 cm height is an outlier. It pulls the mean down because mean uses every value in the sum.

1. Given Data: 170, 173, 165, 118, 175
2. Formula Used: Mean = Sum ÷ Number of values
3. Calculation:
   Sum = 170 + 173 + 165 + 118 + 175 = 801
   Mean = 801 ÷ 5 = 160.2 cm
   Median = 170 cm
4. Final Result: The outlier lowers the mean to 160.2 cm.

Arithmetic Mean Class 7 Questions

Arithmetic mean works like equal sharing across all values.
The chapter uses guavas, cricket scores, flowers, and school enrolment to show why the number of values matters.
These arithmetic mean class 7 questions train students to divide by the correct count.

11. Why does Shreyas’s group get more guavas per person than Parag’s group?

Shreyas’s group gets 6 guavas per person. Parag’s group gets 5 guavas per person.

1. Given Data:
   Shreyas’s group: 3, 8, 10, 5, 4
   Parag’s group: 5, 4, 6, 3, 4, 8
2. Formula Used: Mean = Total guavas ÷ Number of people
3. Calculation:
   Shreyas’s total = 3 + 8 + 10 + 5 + 4 = 30
   Shreyas’s share = 30 ÷ 5 = 6
   Parag’s total = 5 + 4 + 6 + 3 + 4 + 8 = 30
   Parag’s share = 30 ÷ 6 = 5
4. Final Result: Shreyas’s group gets 1 extra guava per person.

12. Why is total runs not enough when players play different numbers of matches?

Total runs are not enough because players may play different match counts. Mean runs per match gives a fair comparison.

1. Given Data:
   Shubman scored 110 runs in 5 matches.
   Yashasvi scored 96 runs in 4 matches.
2. Formula Used: Average runs = Total runs ÷ Matches played
3. Calculation:
   Shubman’s mean = 110 ÷ 5 = 22
   Yashasvi’s mean = 96 ÷ 4 = 24
4. Final Result: Yashasvi has the higher average.

13. How do you treat a zero score and a did-not-play match in mean calculation?

A zero score counts in the mean, but a did-not-play match does not count. The player did not participate in that match.

1. Given Data: 57, 13, 0, 84, –, 51, 27
2. Formula Used: Mean = Sum of played matches ÷ Number of played matches
3. Calculation:
   Sum = 57 + 13 + 0 + 84 + 51 + 27 = 232
   Played matches = 6
   Mean = 232 ÷ 6 = 38.67
4. Final Result: Average score = 38.67 runs per played match.

Median Class 7 Questions

Median uses the position of values after arranging data in order.
It becomes useful when one value is much higher or lower than the rest.
These median class 7 questions focus on odd data, even data, and middle-value selection.

14. How do you find the median of newspaper pages: 16, 18, 20, 22, 26, 16, 10?

The median number of newspaper pages is 18. The data has seven values, so the fourth value is the median.

1. Given Data: 16, 18, 20, 22, 26, 16, 10
2. Formula Used: Median = Middle value after sorting
3. Calculation:
   Sorted data = 10, 16, 16, 18, 20, 22, 26
   Middle value = 18
4. Final Result: Median = 18 pages.

15. How do you find the median when there are six values?

The median equals the average of the third and fourth values. This rule applies to any even-sized data set.

1. Given Data: 12, 15, 18, 20, 24, 27
2. Formula Used: Median = Average of two middle values
3. Calculation:
   Middle values = 18 and 20
   Median = (18 + 20) ÷ 2
   Median = 19
4. Final Result: Median = 19.

16. When is median better than mean in Class 7 statistics?

Median is better when data has an outlier. It does not shift sharply due to one extreme value.

1. Given Data: 2, 3, 4, 5, 40
2. Mean:
   Mean = (2 + 3 + 4 + 5 + 40) ÷ 5
   Mean = 54 ÷ 5 = 10.8
3. Median: Middle value = 4
4. Final Result: Median = 4 represents this data better.

Outliers Class 7 Maths Questions

An outlier can pull the mean away from the usual data values.
NCERT shows this with a 118 cm family height and a 40-story reading count.
These outliers class 7 maths questions explain why median can sometimes represent data better.

17. What is the outlier in the data 2, 3, 4, 5, 40?

The outlier is 40. It is much larger than the other values.

1. Given Data: 2, 3, 4, 5, 40
2. Observation: Most values lie between 2 and 5.
3. Effect: 40 increases the mean.
4. Final Result: 40 is the outlier.

18. How does a high outlier affect the mean and median?

A high outlier makes the mean larger. The median changes less because it depends on position.

1. Given Data: 2, 3, 4, 5, 40
2. Mean:
   Mean = 54 ÷ 5
   Mean = 10.8
3. Median: 4
4. Final Result: The high outlier pulls the mean upward.

19. How does a low outlier affect the mean and median?

A low outlier makes the mean smaller. The median stays closer to the centre of the data.

1. Given Data: 118, 165, 170, 173, 175
2. Mean:
   Mean = 801 ÷ 5
   Mean = 160.2
3. Median: 170
4. Final Result: The low outlier pulls the mean downward.

Class 7 Maths Dot Plot Questions

Dot plots place each data value on a number line and show repeated values as stacked dots.
They help students see spread, clusters, minimum values, maximum values, and range.
These class 7 maths dot plot questions use onion prices, heights, and survey data.

20. What does a dot plot show in Class 7 data handling?

A dot plot shows data values as dots on a number line. Repeated values appear as stacked dots.

1. Given Data: 2, 4, 4, 5, 7
2. Dot Plot Rule: Place one dot above each value.
3. Repeated Value: Value 4 gets two dots.
4. Final Result: A dot plot shows frequency and spread together.

21. How do you find range from a dot plot?

Range equals the maximum value minus the minimum value. A dot plot shows both ends clearly.

1. Given Data: Minimum = 17, Maximum = 60
2. Formula Used: Range = Maximum − Minimum
3. Calculation:
   Range = 60 − 17
   Range = 43
4. Final Result: Range = 43.

22. What information is lost when onion prices are shown on a dot plot?

The month-wise order is lost in a dot plot. The plot keeps values but removes the original monthly sequence.

1. Given Data: Onion prices from January to December.
2. Dot Plot Feature: It sorts values on a number line.
3. Lost Detail: January’s exact position in the year disappears.
4. Final Result: A dot plot does not preserve month-wise order.

Class 7 Maths Double Bar Graph Questions

Double bar graphs compare two related data sets across the same categories.
NCERT uses onion prices, daylight hours, runs per over, and electric vehicle registrations for this skill.
These class 7 maths double bar graph questions focus on scale, bar height, and side-by-side comparison.

23. What is a double bar graph in Class 7 Maths?

A double bar graph shows two bars side by side for each category. It helps compare two related data sets.

1. Given Data: Onion prices in Yahapur and Wahapur.
2. Graph Rule: Draw two adjacent bars for each month.
3. Use: Compare month-wise prices directly.
4. Final Result: A double bar graph compares two data sets category-wise.

24. How do you read the scale in a double bar graph?

The scale tells the value represented by one unit length. It helps estimate bar values accurately.

1. Given Data: Vertical axis marked 0, 10, 20, 30, 40, 50, 60.
2. Scale Used: 1 unit = 10 rupees.
3. Example: A bar reaching 40 shows ₹40.
4. Final Result: The scale links bar height to value.

25. Why are bars drawn side by side in a clustered column graph?

Bars are drawn side by side to compare values in the same category. Each cluster represents one category.

1. Given Data: Monthly prices in two towns.
2. Graph Type: Clustered column graph.
3. Purpose: Compare Yahapur and Wahapur for each month.
4. Final Result: Side-by-side bars show category-wise comparison.

Class 7 Maths Data Handling Questions

Data handling includes collecting, organising, analysing, interpreting, and presenting data.
In Chapter 5, students also learn why zero and missing values cannot be treated the same.
These class 7 maths data handling questions test careful reading before calculation.

26. Can mean or median be less than the minimum value of data?

No, mean and median cannot be less than the minimum value. They lie within the data range.

1. Given Data: 5.6, 8, 3.09, 12.9, 6.5
2. Minimum Value: 3.09
3. Reason: Mean and median represent central values.
4. Final Result: Mean and median cannot lie below 3.09 here.

27. Can mean or median be greater than the maximum value of data?

No, mean and median cannot be greater than the maximum value. They remain within the smallest and largest values.

1. Given Data: 5.6, 8, 3.09, 12.9, 6.5
2. Maximum Value: 12.9
3. Reason: Central values come from the data range.
4. Final Result: Mean and median cannot exceed 12.9 here.

28. Why should missing values not be treated as zero?

Missing values should not be treated as zero because zero is an actual value. A missing value means no data exists.

1. Given Data: Player score: 57, 13, 0, 84, –, 51, 27
2. Zero Meaning: The player played and scored 0.
3. Dash Meaning: The player did not play.
4. Final Result: Dash values must not enter the mean calculation.

Data Visualisation Class 7 Questions

Data visualisation helps students notice patterns that tables may hide.
Chapter 5 uses dot plots, clustered column graphs, daylight graphs, and sports graphs for interpretation.
These data visualisation class 7 questions focus on evidence-based statements from graphs.

29. What two steps help students understand a graph?

The two steps are identify what is given and infer from what is given. This method keeps graph reading accurate.

1. Step 1: Check axes, scale, categories, and patterns.
2. Step 2: Use observations to write justified statements.
3. Example: Read rocket launches first, then compare organisations.
4. Final Result: Graph analysis needs observation before interpretation.

30. Why can a graph support some statements but not all statements?

A graph can support only statements shown by its data. It cannot prove facts outside the given values.

1. Given Data: Rocket launches from 2021 to 2023.
2. Valid Claim: SpaceX launches increased year by year.
3. Invalid Claim: All organisations increased every year.
4. Final Result: A valid statement must match the graph data.

31. Why does the daylight graph show opposite patterns for two cities?

The daylight graph shows opposite patterns because the cities lie in opposite hemispheres. Their seasons occur at different times.

1. Given Data: City 1 peaks in June, City 2 peaks in December.
2. Reason: Northern and Southern Hemispheres have opposite seasons.
3. Example: Helsinki and Wellington show opposite daylight patterns.
4. Final Result: Opposite hemispheres create opposite daylight trends.

NCERT Class 7 Maths Part 2 Chapter 5 Questions for Graph Practice

NCERT graph questions ask students to identify what is given before making an inference.
Students must check axes, scale, categories, bar height, and data patterns before writing a conclusion.
These NCERT class 7 maths part 2 chapter 5 questions build graph-reading accuracy.

32. How do you compare two teams using runs per over in a double bar graph?

Compare the bars over by over and add runs when needed. The graph also marks wickets with circles.

1. Given Data: Runs per over for two teams.
2. Graph Feature: Bars show runs, circles show wickets.
3. Comparison: Taller bar means more runs in that over.
4. Final Result: The graph compares run rate and wickets together.

33. How do you decide whether a statement about a graph is justified?

A statement is justified if the graph directly supports it. Approximate visual claims need clear scale reading.

1. Given Data: Electric vehicle registrations from 2022 to 2024.
2. Check: Read bars using the vertical scale.
3. Compare: Match the claim with the bar heights.
4. Final Result: A justified claim must follow from the plotted values.

34. Why is a scale needed in a bar graph?

A scale is needed to convert bar length into data value. Without scale, values become guesses.

1. Given Data: Vertical axis uses 1 unit = 4°C.
2. Graph Use: Read temperature values from bar height.
3. Example: A bar at 20°C shows five units.
4. Final Result: The scale gives numerical meaning to bars.

Class 7 Maths Connecting the Dots Solutions for Mixed Practice

Mixed practice combines mean, median, outliers, dot plots, and double bar graphs in one set.
Students must first identify the type of data problem before choosing a method.
These class 7 maths connecting the dots solutions follow the chapter’s data detective approach.

35. Who performed better: Player A with scores 14, 16, 10, 10 or Player B with 0, 8, 6, 4?

Player A performed better by average score. Player A’s mean is higher than Player B’s mean.

1. Given Data:
   Player A: 14, 16, 10, 10
   Player B: 0, 8, 6, 4
2. Formula Used: Mean = Sum ÷ Number of games
3. Calculation:
   A’s mean = (14 + 16 + 10 + 10) ÷ 4 = 12.5
   B’s mean = (0 + 8 + 6 + 4) ÷ 4 = 4.5
4. Final Result: Player A performed better.

36. What is the median of 85, 76, 90, 85, 39, 48, 56, 95, 81, 75?

The median is 78.5. The data has ten values, so use the average of the fifth and sixth values.

1. Given Data: 85, 76, 90, 85, 39, 48, 56, 95, 81, 75
2. Formula Used: Median = Average of two middle values
3. Calculation:
   Sorted data = 39, 48, 56, 75, 76, 81, 85, 85, 90, 95
   Median = (76 + 81) ÷ 2
   Median = 78.5
4. Final Result: Median = 78.5.

37. How do you find the average difference between estimated and measured lengths?

Find each positive difference, add them, and divide by the number of objects. This gives average error.

1. Given Data: Differences are 2 cm, 1 cm, 3 cm, 4 cm, 0 cm.
2. Formula Used: Mean difference = Sum of differences ÷ Number of differences
3. Calculation:
   Sum = 2 + 1 + 3 + 4 + 0 = 10
   Mean difference = 10 ÷ 5 = 2
4. Final Result: Average difference = 2 cm.

Class 7 Maths Part 2 Chapter 5 Questions and Answers for One-Mark Practice

One-mark questions usually test exact definitions from the chapter.
Students should know statistical question, statistical statement, mean, median, outlier, and dot plot.
These class 7 maths part 2 chapter 5 questions and answers cover core NCERT terms.

38. What is statistics in Class 7 Maths?

Statistics is the study of collecting, organising, analysing, interpreting, and presenting data. It helps answer questions using evidence.

1. Term: Statistics
2. Core Work: Collect, organise, analyse, interpret, and present data.
3. Example: Comparing onion prices across two towns uses statistics.
4. Final Result: Statistics studies data-based questions.

39. What is a statistical statement?

A statistical statement is a claim or summary based on numbers, proportions, probabilities, or predictions. It describes a data-related phenomenon.

1. Term: Statistical statement
2. Feature: It uses numerical evidence.
3. Example: The population reduced by about 100 in a decade.
4. Final Result: A statistical statement summarises data.

40. What are measures of central tendency in Class 7?

Measures of central tendency represent the centre of data. Mean and median are the two measures used in this chapter.

1. Term: Central tendency
2. Measures: Mean and median
3. Example: Mean height and median height describe a class.
4. Final Result: Mean and median show central tendency.

Connecting the Dots Class 7 Maths Questions for Data Detective Practice

The Data Detective section trains students to question graphs instead of copying values.
Students compare boys’ and girls’ heights, pocket counts, quiz marks, sports choices, and Sudoku times.
These connecting the dots class 7 maths questions develop evidence-based reasoning from organised data.

41. Why can one school’s height data not prove that boys are always taller than girls?

One school’s height data cannot prove a rule for all children. A small data set may not represent every child.

1. Given Data: Heights from one or two schools.
2. Statistical Rule: Larger conclusions need wider data.
3. Example: One class may show girls taller on average.
4. Final Result: A local data set cannot prove a universal rule.

42. How do you compare two groups using mean and median together?

Compare both mean and median to understand centre and outlier effect. A large gap can indicate skewed data.

1. Given Data: Two groups of quiz scores.
2. Mean Use: It uses all values.
3. Median Use: It shows the middle position.
4. Final Result: Mean and median together give a better comparison.

Class 7 Maths Statistics Important Questions for Final Practice

Statistics problems in this chapter connect numerical work with everyday evidence.
Students use values from prices, scores, heights, pages, registrations, and surveys.
These class 7 maths statistics important questions keep the focus on data-backed conclusions.

43. Why can the mean height of another section not be determined from one section’s mean?

The other section’s mean cannot be determined from one section’s mean. They are different groups with different data.

1. Given Data: One section has mean height 154.2 cm.
2. Missing Data: The second section’s heights are not given.
3. Reason: Equal class size does not guarantee equal mean.
4. Final Result: The other section’s mean cannot be determined.

44. What does range show in a data set?

Range shows the spread between the largest and smallest values. It measures the width of the data.

1. Given Data: Minimum = 128 cm, Maximum = 158 cm
2. Formula Used: Range = Maximum − Minimum
3. Calculation:
   Range = 158 − 128
   Range = 30
4. Final Result: Range = 30 cm.

CBSE Class 7 Maths Important Links