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NCERT Class 9 Solutions: Statistics (Chapter 14) Exercise 14.4-Part 1
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 is52.
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,