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 = ((𝑛 + 1)/2)^𝑡ℎ observation
= ((11 + 1)/2)^𝑡ℎ
= 15
So, Mean = 39
Mode = 15
Median = 15
∴ The three are not same

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.