NCERT Class 9 Solutions: Statistics (Chapter 14) Exercise 14.4-Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Glide to success with Doorsteptutor material for IEO Class-9: fully solved questions with step-by-step explanation- practice your way to success, Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.

Example of Mean, Median, Mode and Range

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,