Mean and Median

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• Q1

On how many days, the rainfall was less than the mean rainfall.

 Day Mon Tue Wed Thurs Fri Sat Sun Rainfall (in mm) 0.3 11.4 7.1 2.9 4.5 9.1 11.2

Marks:1

3

Explanation:

Mean rainfall = (0.3 + 11.4 + 7.1 + 2.9 + 4.5 + 9.1 + 11.2)/ 7
= 46.5/ 7
= 6.6 (approx.)
Monday = 0.3 mm, Thursday = 2.9 mm, Friday = 4.5

• Q2

The mean of the first 9 whole numbers is,

Marks:1

4.

Explanation:
The mean of first 9 whole numbers = (0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8)/9 = 36/9 = 4.
• Q3

The median of the first ten whole numbers is

Marks:1

5.

Explanation:
First ten whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
Median is the middle observation of the given data.
Here, the middle observation = 5.
• Q4

The median of 9, 6, 14, 15 and 11 is

Marks:1

11

Explanation:

• Q5

The median of the numbers 2, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 8, 9, 7, 7 is

Marks:1

5

Explanation:

Arrange the data in ascending order - 2, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Here n = 15 (odd)
Median = {(n + 1)/2}th term
= {(15 + 1) /2} th term
= 8th term
= 5
The median is the middle term of data .
Therefore, the median is 5.