Ex 3.2, 2 The runs scored in a cricket match by 11 players is as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15 Find the mean, mode and median of this data . Are the three same?
Arranging data in ascending order
Mean
Mean = (6 + 8 + 10 + 10 + 15 + 15 + 15 + 50 + 80 + 100 + 120)/11
= (14 + 20 + 45 + 130 + 220)/11
= (220 + 130 + 45 + 20 + 14)/11
= 429/11
Mode
Mode = most occurring observation
Since 15 occurs 3 times
Mode = 15
Median
Number of observation = 11
Since n is odd,
Median = ((๐ + 1)/2)^๐กโ observation
= ((11 + 1)/2)^๐กโ
= 15
So, Mean = 39
Mode = 15
Median = 15
โด The three are not same

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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