NCERT Class 9 Solutions: Statistics (Chapter 14) Exercise 14.4-Part 1

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Example of mean, median, mode and range

Example of Mean, Median, Mode and Range

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Q-1 The following number of goals was scored by a team in a series of 10 matches:

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

Solution:

Mean

Median

Arrange the score in ascending order: 0,1,2,3,3,3,3,4,4,5

So, the number of observation is (even).

Mode

Mode is the observation with the maximum frequency data.

So, 3 is the maximum frequency.

Hence, mode score of data is 3.

Q-2 In a mathematics test given to 15 students, the following marks (out of 100) is recorded: 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60

Find the mean, median and mode of this data.

Solution:

Mean

Median

To arrange the data in increasing order: 39,40,40,41,42,46,48,52,52,52,54,60,62,96,98

The number of items is 15(odd).

So, Median

8th Observation

Hence, 8th observation is 52.

Mode

52 occur maximum times (3times).

So, mode is 52.

Q-3 The following observations have been arranged in ascending order. If the median of the data is 63, find the value of.

Solution:

The number of observation is 10 (even).

So,