NCERT Solutions for Class 9 Maths Chapter 13
Important NCERT Questions
Statistics
NCERT Books for Session 2022-2023
CBSE Board, UP Board and Other state Boards
EXERCISE 14.4
Page No:269
Questions No:1
The following number of goals were 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.
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Mean = Sum of all observation/Total number of observations
= 2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3/10 = 28/10 = 2.8 goals
Arranging the data in ascending order:
O, 1, 2, 3, 3, 3, 3, 4, 4, 5
Number of observations = 10
10 is an even number. Therefore, the median = Mean of 5th[(n/2)th] term and 6th[(n/2 + 1)th] term.
Hence,
Median = 1/2(5th observation + 6th observation) = 1/2(3 + 3) = 3
Mode is the observation having maximum frequency. Here, the number 3 occurs maximum (4) times.
Hence, the mode of the observations is 3.