Question

question 9 (multiple choice worth 2 points) (histograms and line plots mc) a group of students was asked about the number of times they had been water - skiing. the data is shown in the histogram. histogram: water skiing trips, x - axis: number of times water skiing (1–5, 6–10, 11–15, 16–20, 21–25), y - axis: frequency which of the following best describes the spread of the data? explain its meaning in this situation. the data has a possible range of 24, which is a wide spread. this might mean the greatest number of water - skiing trips was between 6 and 10. the data has a possible range of 5, which is a narrow spread. this might mean that there is not a large difference in the number of water - skiing trips taken by the students. the data has a possible range of 5, which is a narrow spread. this might mean that most of the students have taken a similar number of water - skiing trips. the data has a possible range of 24, which is a wide spread. this might mean that there is a difference of around 24 water - skiing trips between the students.

Explanation:

1. Calculate the range: The minimum value is 1 (from 1 - 5) and the maximum is 25 (from 21 - 25). Range = 25 - 1 = 24.
2. Analyze options:

• Option 1: Wrong meaning (greatest number is 11 - 15, not 6 - 10).
• Options 2,3: Wrong range (range is 24, not 5).
• Option 4: Correct range (24) and meaning (difference of ~24 trips).

Answer:

D. The data has a possible range of 24, which is a wide spread. This might mean that there is a difference of around 24 water - skiing trips between the students.