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:2
In a mathematics test given to 15 students, the following marks (out of 100) are 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.
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Mean = Sum of all observation/Total number of observations
= 41 + 39 + 48 + 52 + 46 + 62 + 54 + 40 + 96 + 52 + 98 + 40 + 42 + 52 + 60/15
= 822/10 = 54.8
Arranging the data in ascending order:
39, 40, 40, 41, 42, 46, 48, 52, 52, 54, 60, 62, 96, 98
Number of observations = 15
15 is an odd number. Therefore, the mode = 8th[(n+1/2)th] term of the observation.
Hence,
Median = 8th term = 52
Mode is the observation having maximum frequency. Here, the number 52 occurs maximum (3) times.
Hence, the mode of the observations is 52.
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