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You are interested in how many contacts older adults have in their smartphones. Here are data on the number of contacts for a random sample of 30 elderly adults with smartphones in a large city:7202425252828303235424344454647484850517275777879838788135151(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 IQR to describe the center and variability of this distribution? Why?

Sagot :

a) The histogram for given data is as shown below.

b)From the box and whisker plot we can see that there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

In this question, we have been given the data on the number of contacts for a random sample of 30 elderly adults with smartphones in a large city.

7,20,24,25,25,28,28,30,32,35,42,43,44,45,46,47,48,48,50,51,72,75,77,78,79,83,87,88,13,51,51

a) the histogram for given data is as shown below.

b) From the box and whisker plot we can see that there is no outlier for given data.

c) the mean of the given data is:

m = 47.48

the standard deviation for given data is:

s = 22.61

the First quartile:  

Q1 =  28

the median = 46

the Third quartile:  

Q3 = 72

the Interquartile range:  

IQR = Q3 - Q1

IQR = 72 - 28

IQR = 44

Therefore, for given data:

a)  the histogram for given data is as shown below.

b) there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

Learn more about histogram here:

https://brainly.com/question/16819077

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