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
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
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