Question

The following table displays the ages of female actors when they starred in their award-winning performances. Ages of Female Award Recipients 42 42 35 32 28 28 31 34 30 74 35 28 33 44 62 48 48 32 37 38 34 60 34 46 21 26 65 42 24 25 25 33 47 81 36 54 Find the mean and the median for the data in the table. (Round your mean to one decimal place.)

Answer 1

Solution :

=> Answers :- Mean = 39.8 ; Median = 35

Given data is 42 42 35 32 28 28 31 34 30 74 35 28 33 44 62 48 48 32 37 38 34 60 34 46 21 26 65 42 24 25 25 33 47 81 36 54

=> Mean = sum of terms/number of terms

= 1434/36

= 39.8333

= 39.8 (rounded)

=> Median = 35

Explanation :-

=> The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

21 24 25 25 26 28 28 28 30 31 32 32 33 33 34 34 34 35 35 36 37 38 42 42 42 44 46 47 48 48 54 60 62 65 74 81   
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

=> Median = (35 + 35)/2 = 35