A class of 17 students, a mix of graduate and undergraduate, measured their heig

Question

A class of 17 students, a mix of graduate and undergraduate, measured their heights in reference to the claim that “college students” are overweight. The data round to the nearest integer is shown below.

No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

Weight 188 188 101 176 189 133 201 130 137 137 159 127 125 139 200 177 168

1. Describe this data using four metrics and explain what each metric represents or signifies (no more than two brief sentences per metric please). Use the back for the answers. 50 points.

2. Which three charts / graphs would you recommend to best represent this data visually? Identify the charts/graphs and briefly explain. 30 points.

3. Comment on the data set as it being (or not being) representative of “college students” in general. What factors or elements would have to be considered for the data to be a fair and balanced representative? Identify and briefly explain. 20 points.

Explanation / Answer

The metrics which descibe the data are

Mean is the average weight of the students

Median is the middle value of the weight

Mode is the weight of the more students

Range is the spread of the distribution i.e., (Maximum-minimum)

2. The three charts are

Bar chart

Pie chart

Line Chart

3. The data set may represent the college students or it may not reresent

Mean 157.3529 Median 159 Mode 188 Standard Deviation 30.72446 Sample Variance 943.9926 Range 100

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