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24 April, 05:37

Amanda surveyed 20 juniors and seniors at Delamar High School to find the number of hours per week they spend working at part-time jobs. Her results are shown below.

Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15

Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10

Which statement about the data is true?

1. the range of hours worked is the same for juniors and seniors

2. the mean, medium, and mode for the juniors surveyed fall within a 3-hour range

3. the mean number of hours worked by the seniors surveyed is 12.

4. The mean number of hours worked is the same for junior and seniors.

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Answers (1)
  1. 24 April, 07:00
    0
    Data set:

    Junior: 0,0,10,10,10,15,15,20,20,20

    mean: ((0x2) + (10x3) + (15x2) + (20x3)) / 10 = 30 + 30 + 60 / 10 = 120/10 = 12

    median: (10+15) / 2 = 25/12 = 12.5

    mode: 10, 20

    range: 20 - 0 = 20

    Senior: 0,0,0,0,10,10,10,10,20,20

    mean: ((0x4) + (10x4) + (20x2)) / 10 = 40 + 40 / 10 = 80/10 = 8

    median: (10+10) / 2 = 20/2 = 10

    mode: 0,10

    range: 20 - 0 = 20

    1. the range of hours worked is the same for juniors and seniors. It is 20.
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