Question

Go to StatCrunch. Select the data for problem 55 in Section 3 of Chapter 2 (Heights of males)

HERE ARE THE HEIGHTS FROM STAT CRUNCH

67
76
69
68
72
68
65
63
75
69
66
72
67
66
69
73
64
62
71
73
68
72
71
65
69
66
74
72
68
69

Use the “summary data” function in StatCrunch to calculate the following (enter the correct answers in the chart below, round to hundredths if necessary)

n =	Mean =	Median =
Maximum =	Minimum =	Range =
Quartile 1 =	Quartile 3 =	Standard Deviation =

Part II

Have StatCrunch construct a histogram using 5 classes.  Export a picture of that histogram and copy that hereà

Use this chart to determine the shape of the distribution. Enter that here: ________________________

Have StatCrunch construct a stem and leaf plot. Export a picture of that stem and leaf plot and copy that hereà

Use this chart to determine if there is a mode or modes.  If there is, enter the value(s) here ___________________

Have StatCrunch construct a boxplot. Export a picture of that boxplot and copy that hereà

Use this chart to determine if there are any outliers.  If there are any, enter their values here ______________________________

Part III

Show formulas and all work for these:

Calculate the CV or Coefficient of Variation for this distribution

Calculate the percentile of 75 in this distribution

Calculate the z-score  of 75

Answer 1

Summary of data is as follows

n =sample size =30

Maximum =76

Minimum=62

Mean =68.999

Median =68.5

Mode =68

Standard deviation=3.561

Range = 14

Quartile 1=66

Quartile 3=72

Part III

Coefficient of variation (c.v)=sigma /mean *100

C.V =3.561/68.999*100

CV=0.05166

75 th percentile means third quartile (Q3)

Q3=size of 3/4 (n+1) th observation

Q3= size of 3/4 (30+1) th observation

Q3=size of 3/4*31 th observation

Q3= size of 23 .25 th observation

Q3=(23+24 )/2 th observation

Q3=72+72/2

Q3=72

Z score of 75 is 1.6877