Question

find the
mean, median, and mode of the following data
4, 4, 5, 7, 6, 7, 7, 12, 3​

Answer 1

Answer:

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Answer 2

Mean = 6.1

Median = 6

Mode = 7

Step-by-step explanation:

Total number of observations (n) = 9

Mean= Sum of all observations/Total number of observations

$Mean = \frac{4 + 4 + 5 + + 6 + 7 + 7 + 12 + 3}{9} \\ = \frac{55}{9} \\ = 6.111 \\ = 6.1$

Arranging the observations in ascending order we get,

3, 4, 4, 5, 6, 7, 7, 7, 12

Here n=9 (odd)

$Median = {(\frac{n + 1}{2}) }^{th} \ observation \\ = {(\frac{9+ 1}{2}) }^{th} \ observation \\ = {(\frac{10}{2}) }^{th} \ observation \\ = {5}^{th} \ observation \\ = 6$

7 occured maximum number of times.

Therefore,

Mode = 7

I hope it helps you.

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