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Please answer questions 3 and 4 so I can understand a better sense. 3. The following data are the scores of 36 students on a

Please answer questions 3 and 4 so I can understand a better sense.

3. The following data are the scores of 36 students on a statistics test: 58 59 69 41 42 42 53 53 64 64 64 69 61 63 65 64 62 73 86 87 67 68 68 69 70 70 71 81 92 72 73 74 94 79 65 66 a) make a stem and leaf display for these data.

b) Find the standard deviation and IQR.

c) Describe the shape (skewed left, skewed right, bell, or uniform).

d) Based on the answer to part (c), what is the best measure of the dispersion for this distribution(standard deviation or IQR)? Justify your answer.

4. The frequency table shows the family size of representative samples of 100 families in 1967.

Family size Frequency Relative Frequency
2 33
3 21
4 19
5 13
6 7
7 5
8 2

a) Add a column to the table for relative frequency. b) Construct a histogram based on the data provided above.

c) Find the mean, median, and mode.

d) Describe the shape (skewed left, skewed right, bell, or uniform).

e) Based on the answer to part (c), what is the best measure of the center for this distribution (mean or median)? Justify your answer.

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