Question

1. Find the Mean, Median, and the Mode of the following values:

i	1 2 3 4 5 6 7 8 9 10
x	10 15 15 17 21 24   24   25 28 32

Answer 1

Mean = sum of observations/ number of observations =(10+15+15+17+21+24+24+25+28+32)/10 =211/10 =21.1

Median is defined as that value which divides the series arranged either in ascending order or descending order into 2 equal parts. There are 10 observations so median will be mean of (n/2) th observation and (n/2 +1)th observation = mean of (10/2)th and(10/2 +1)th =mean of 5th and 6th observation =(21+24)/2 = 22.5

Mode is defined as the maximum value of observation or the highest observation in the sequence =max (xi)=32

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