Question

find the mean and median of the given data set 42,40,40,47,41​

Answer 1

Mean = 42

Mean = 42Median = 40

Step-by-step explanation:

42,40,40,47,41

$\sf Mean = \frac{Sum \: of \: observations}{No. \: of \: observations}$

$\sf = \frac{42 + 40 + 40 + 47 + 41}{5} \\ = \frac{210}{5} \\ \underline{ = 42}$

Mean = 42

$\sf \: </u></strong><strong><u>M</u></strong><strong><u>edian \: = \underline{42 \: 40} \: 40 \: \underline{47 \: 41}$

Median = 40

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Answer 2

Given,

Series = 42,40,40,47,41​

Total observation = 5

To Find,

Mean=?

Median=?

Solution,

The mean of the series is calculated by dividing the sum of all the observations by the total number of observations.

Mean = (Sum of all observations) / Total number of observation

Mean = (42 + 40 + 40 + 47 + 41​) /5

Mean  = 210 /5

Mean = 42

We know that the median is the middle element in sorted series.

So, firstly we will sort the series.

Sorted series = 40, 40, 41, 42, 47

Middle value in odd number of observation = (n+1)/2th observation

Middle value in odd number of observation = 3rd observation

Therefore, median = 41

Hence, the mean and median of the data set 42,40,40,47,41​ are 42 and 41 respectively.