Question

whats the mean deviation, standard deviation and range for these set of numbers 67,76,51,51,36

Answer 1

Mean value is

	xi	xi-xbar	lxi-xbarl
	67	10.8	10.8
	76	19.8	19.8
	51	-5.2	5.2
	51	-5.2	5.2
	36	-20.2	20.2
xbar	56.2		61.2

Hence Mean deviation is

Create the following table.

data	data-mean	(data - mean)2
67	10.8	116.64
76	19.8	392.04
51	-5.2	27.04
51	-5.2	27.04
36	-20.2	408.04

Find the sum of numbers in the last column to get.

So standard deviation is

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

36   51   51   67   76   

The lowest value is 36.

The highest value is 76.

The range = 76 - 36 = 40.