Measures of Dispersion of Grouped Data

Which measure of spread should be used to describe the distribution?

• standard deviation

• interquartile range

• range

• median

Determine the value of x in the cumulative frequency table below.

• 10

• 11

• 12

• 13

Calculate the standard deviation for the following data.

• 2.928

• 4.848

• 5.148

• 6.227

Find the Standard Deviation of the following grouped data Round to the nearest hundredth S=

(a)  

If the mean is consistent across all sets, which set of data exhibits values that are closer to the mean value, considering their respective standard deviations?

• Set 1: Standard deviation = 15.9

• Set 2: Standard deviation = 14.64

• Set 3: Standard deviation = 17.88

Which set displays values that are relatively closer to the mean, given their standard deviations?

• Set 1

• Set 2

• Set 3

• Not enough information is provided

Using the grouped data, solve for the standard deviation.

• 9.993

• 9.789

• 10.789

• 9.399

Given the data find the POPULATION standard Deviation by Calculator.

• 14.1

• 20.2

• 14.0

• 13

For the following data find the SAMPLE standard Deviation by Calculator

• 20.2

• 13

• 14.1

• 13.99