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Question
Find the mean, the median, and the mode of 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15.
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Solution
21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15
∴ Mean = `(21+24+21+6+15+18+21+45+9+6+27+15)/12`
= `228/12=19`
Numbers are 21, 24, 21, 6, 15, 18, 21, 45, 9, 6, 27 and 15
Mostly repeated term = 21
∴ Mode = 21
Now, Arranging the numbers in ascending order = 6, 6, 9, 15, 15, 18, 21, 21, 21, 24, 27, 45
Here, number of terms = 12 which is even
∴ Median = `1/2{"n"/2"th term"+("n"/2+1)"th term"}`
= `1/2{12/2"th term"+(12/2+1)"th term"}`
= `1/2` {6th term + 7th term}
= `1/2` {18 + 21}
= `1/2xx39`
= 19.5
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