5.9Chapter 5 ExercisesCHAPTER 5: MEASUREMENTS OF VARIABILITYName:izzle.coExternal data sets, such as data set #2 and #7 need for this chapter, can be found at:http://www.3ringpublishing.com/csu/csv.html.1. The mean and the median are measures of center. The standard deviation is a measure of spread that usesthe mean in the calculation. The mean and the standard deviation are commonly used together to measurethe center and spread of symmetric data sets. The median is an appropriate way to measure the center of askewed distribution. Explain why it makes sense to use the 5 number summary to measure the spread of askewed distribution rather than the standard deviation.2.Consider the sample data 2, 4, 6, 5, 27, 10, 3, 8.2:3, 4, 516, 9,10,271,X 825(a) Report the mean and median. Which of these two measurements of location would you choose to describethis data set, and why? Be sure to label each value using the appropriate symbol.ex, = (2+that “+27+10+71= (8:25)8-80= 7.545%(b) Report the range, variance and standard deviation. Be sure to label the variance and standard deviationmin2using the appropriate symbol.Q= 3.red. smin = 23. ) Consider the sample data 9, 11, 15, 13, 7, 12, 8.(a) Report the mean and median. Which of these two measurements of location would you choose to describethis data set, and why? Be sure to label each value using the appropriate symbol.(b) Report the range, variance and standard deviation. Be sure to label the variance and standard deviationusing the appropriate symbol.4.) Both the standard deviation and variance can never take on a negative value. Explain why.