Graphical Representation of Data

There is no content available!

To Access the full content, Please Purchase

  • Q1

    What is a histogram?

    Marks:1
    Answer:

    A histogram is a vertical bar chart that depicts the distribution of a set of data.

    View Answer
  • Q2

    Define frequency polygon.

    Marks:1
    Answer:

    When the mid-points of the adjacent tops of the rectangles of a histogram are joined by straight lines, the figure so obtained is called a frequency polygon.

    View Answer
  • Q3

    The marks obtained (out of 100) by a class of 80 students are given below:

    Marks

    Number of Students

    10-20

    6

    20-30

    9

    30-50

    15

    50-70

    20

    70-100

    30

    Construct a histogram to represent the above data.

    Marks:2
    Answer:

    In the given frequency distribution, the class intervals are not of equal width. Therefore, we would make modification in the lengths of the rectangle in the histogram so that the areas of rectangles are proportional to the frequencies. Thus, we have

    Marks

    Frequency

    Width of the class

    Length of the rectangle

    10-20

    6

    10

    10/10)x6=6

    20-30

    9

    10

    (10/10)x9=9

    30-50

    15

    20

    (10/20)x15=7.5

    50-70

    20

    20

    (10/20)x20=10

    70-100

    30

    30

    (10/30)x30=10

    Required histogram is as follows:

    View Answer
  • Q4

    Draw a histogram for the following
    distribution:

    Marks obtained

    0-10

    10-20

    20-30

    30-40

    40-50

    50-60

    60-70

    70-80

    No. of Students

    7

    10

    6

    8

    12

    3

    12

    15

    Marks:2
    Answer:

    The required histogram is as follows:

    View Answer
  • Q5

    The monthly profits (in Rs.) of 100 shops are
    distributed as follows:

    Profit per shop

    0 – 50

    50 –100

    100 – 150

    150 – 200

    200 – 250

    250 – 300

    No. of shops

    12

    18

    27

    20

    17

    6

    Draw a histrogram for the data and show frequency polygon also.

    Marks:3
    Answer:

    Class marks are given in following table:

    Profit per shop

    Class Mark

    Frequency

    0 – 50

    25

    12

    50 – 100

    75

    18

    100 – 150

    125

    27

    150 – 200

    175

    20

    200 – 250

    225

    17

    250 – 300

    275

    6

    View Answer