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Chapter 1: Q. 12 (page 75)

You are interested in how much time students spend on the Internet each day. Here are data on the time spent on the Internet (in minutes) for a particular day reported by a random sample of 30 students at a large high school

(a) Construct a histogram of these data. (b) Are there any outliers? Justify your answer. (c) Would it be better to use the mean and standard deviation or the median and )12 to describe the center and spread of this distribution? Why?

Short Answer

Expert verified

a. The result of the numerical sequence is

b. The difference between IQR is 47 and 151 is an outlier

c. The results are median and IQR.

Step by step solution

01

Rearranging of numerical variables 

Assume rearrange all data in sequence form of 7 to 151 data The data is seen as

02

Result of difference of IQR

The average middle value is M = Q2=46+472=46.5

The first quartile is 30

the third is 77

the difference between third and fast is 47

03

Equation of IQR

More than 1.5 times IQR on the survey below Q1 and above Q3

Q3+1.5IQR=77+1.5×47=147.5Q1+1.5IQR=30+1.5×47=-40.5

As per solving the equation 151 is an outlier.

based on the 12a solution, IQR and median are best as they are not affected by outliers but standard deviation and mean are also influenced by outliers.

So, the results are median and IQR.

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