1. The table below includes the height and weight measurements for a random sample of 18 female Olympic athletes. Second name Edmonds Oyepitan Steryiou Araujo Pinto Moniz Allegrini Jerzyk Skrzypulec Mohamed Shanaeva Zhexembinova Willmott Hatakeyama Nchout Height(cm) 172 165 180 169 168 166 162 170 166 162 178 164 172 170 164 167 177 171 Weight (kg) Country/Team Team GB Team GB Greece Brazil Brazil Cape Verde Italy Poland Poland Hungary Russian Federation Kazakhstan Team GB Japan Cameroon Poland Belarus Team GB 70 57 59 60 62 105 57 58 56 56 68 47 56 49 65 57 80 56 Dawidowicz Matoshka Danson a) Determine the range and IQR for the height variable (do NOT use Excel for IQR). b) Draw a boxplot for the height variable. Write the values for the lower and upper boundaries on the plot. Are there any outliers in the sample? c) Based on the boxplot, describe the shape of the distribution for the height variable (symmetrical, positively skewed, or negatively skewed)...

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1. The table below includes the height and weight measurements for a random sample of
18 female Olympic athletes.
Second name
Edmonds
Oyepitan
Steryiou
Araujo
Pinto
Moniz
Allegrini
Jerzyk
Height(cm)
172
165
180
169
168
166
162
170
166
162
178
164
172
170
164
167
177
171
Weight (kg) Country/Team
70
Team GB
Team GB
57
59
60
62
105
57
58
56
56
68
47
56
49
65
57
80
56
Greece
Brazil
Brazil
Cape Verde
Italy
Poland
Poland
Hungary
Russian Federation
Kazakhstan
Team GB
Japan
Skrzypulec
Mohamed
Shanaeva
Zhexembinova
Willmott
Hatakeyama
Nchout
Dawidowicz
Matoshka
Danson
Cameroon
Poland
Belarus
Team GB
a) Determine the range and IQR for the height variable (do NOT use Excel for IQR).
b) Draw a boxplot for the height variable. Write the values for the lower and upper
boundaries on the plot. Are there any outliers in the sample?
c) Based on the boxplot, describe the shape of the distribution for the height variable
(symmetrical, positively skewed, or negatively skewed)...
d) Calculate variance & standard deviation for height (show work; don't use Excel)
Transcribed Image Text:1. The table below includes the height and weight measurements for a random sample of 18 female Olympic athletes. Second name Edmonds Oyepitan Steryiou Araujo Pinto Moniz Allegrini Jerzyk Height(cm) 172 165 180 169 168 166 162 170 166 162 178 164 172 170 164 167 177 171 Weight (kg) Country/Team 70 Team GB Team GB 57 59 60 62 105 57 58 56 56 68 47 56 49 65 57 80 56 Greece Brazil Brazil Cape Verde Italy Poland Poland Hungary Russian Federation Kazakhstan Team GB Japan Skrzypulec Mohamed Shanaeva Zhexembinova Willmott Hatakeyama Nchout Dawidowicz Matoshka Danson Cameroon Poland Belarus Team GB a) Determine the range and IQR for the height variable (do NOT use Excel for IQR). b) Draw a boxplot for the height variable. Write the values for the lower and upper boundaries on the plot. Are there any outliers in the sample? c) Based on the boxplot, describe the shape of the distribution for the height variable (symmetrical, positively skewed, or negatively skewed)... d) Calculate variance & standard deviation for height (show work; don't use Excel)
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