The data below consists of the heights in inches of 20 rando

The data below consists of the heights (in inches) of 20 randomly selected women. Find the 20% trimmed mean of the data set. The 20% trimmed mean is found by arranging the data in order, deleting the bottom 10% of the values and the top 10% of the values and then calculating the mean of the remaining values.

67 68 64 61 65 64 70 67 62 63 61 64 75 67 60 59 64 68 65 71

Solution

67 68 64 61 65 64 70 67 62 63 61 64 75 67 60 59 64 68 65 71

now we will arange it in assending order

59,60,61,61,62,63,64,64,64,64,65,65,67,67,67,68,68,70,71,75

20 numbers are there

10% 0f 20 = 2

so replacimg the two lowest and two highest numbers

61,61,62,63,64,64,64,64,65,65,67,67,67,68,68,70

mean = sum of all/ total numbers

= 1040/16 = 65