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A graduate student has collected data involving 66 scores. Based on these data,

ID: 3200946 • Letter: A

Question

A graduate student has collected data involving 66 scores. Based on these data, he ha s constructed two frequency distributions of grouped scores. These are shown here. Do you see anything wrong with these distributions? Explain. a. Class Interval f 48–63 17 29–47 28 10–28 21 b. Class Interval f Class Interval f 62–63 2 34–35 2 60–61 4 32–33 0 58–59 3 30–31 5 56–57 1 28–29 3 54–55 0 26–27 0 52–53 4 24–25 4 50–51 5 22–23 5 48–49 2 20–21 2 46–47 0 18–19 0 44–45 5 16–17 3 42–43 4 14–15 1 40–41 3 12–13 0 38–39 0 10–11 2 36–37 6

Explanation / Answer

a) The width in each group in not equal and the groups should be in ascending order.

b) but the second one has equal width for each interval but there are too many groups. We should merge these small groups and make lesser number of groups so that each with equal width has moderately large frequencies.