The dot plots below show the ages of students belonging to two groups of painting classes: a dot plot shows two divisions labeled group a and group b. the horizontal axis is labeled as age of painting students in years. group a shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. group b shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29. based on visual inspection, which group most likely has a lower mean age of painting students? explain your answer using two or three sentences. make sure to use facts to support your answer.

Question

Mathematics

Brendan Bush

1 November, 03:52

The dot plots below show the ages of students belonging to two groups of painting classes: a dot plot shows two divisions labeled group a and group b. the horizontal axis is labeled as age of painting students in years. group a shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. group b shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29. based on visual inspection, which group most likely has a lower mean age of painting students? explain your answer using two or three sentences. make sure to use facts to support your answer.

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Answers (1)

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Simon Herrera · Answer 1

Group A:

1 dot at 9: 1 x 9 = 9

7 dots at 10: 7 x 10 = 70

8 dots at 15: 8 x 15 = 120

8 dots at 17: 8 x 17 = 136

6 dots at 19: 6 x 19 = 114

Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97

Group B:

6 dots at 10: 6 x 10 = 60

5 dots at 14: 5 x 14 = 70

6 dots at 18: 6 x 18 = 108

5 dots at 25: 5 x 25 = 125

4 dots at 28: 4 x 28 = 112

4 dots at 29: 4 x 29 = 116

mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70

The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.