Question

Josie recorded the length of each putt she made in a histogram. A histogram plots Number of putts, versus Length in meters, from 0 to 10, in increments of 1. Bar heights are approximately as follows. From 0 to 1, 20. From 1 to 2, 26. From 2 to 3, 22. From 3 to 4, 17. From 4 to 5, 12. From 5 to 6, 8. From 6 to 7, 5. From 7 to 8, 2. From 8 to 9, 1. From 9 to 10, 0. \[0\] \[5\] \[10\] \[15\] \[20\] \[25\] \[30\] \[0\] \[1\] \[2\] \[3\] \[4\] \[5\] \[6\] \[7\] \[8\] \[9\] \[10\] A histogram plots Number of putts, versus Length in meters, from 0 to 10, in increments of 1. Bar heights are approximately as follows. From 0 to 1, 20. From 1 to 2, 26. From 2 to 3, 22. From 3 to 4, 17. From 4 to 5, 12. From 5 to 6, 8. From 6 to 7, 5. From 7 to 8, 2. From 8 to 9, 1. From 9 to 10, 0. She wants to describe the length distribution in terms of its clusters, gaps, and peaks. Which of these statements could Josie use? Choose all answers that apply: Choose all answers that apply: (Choice A) There is a peak from \[1\] to \[2\] meters. A There is a peak from \[1\] to \[2\] meters. (Choice B) There is a gap from \[6\] to \[9\] meters. B There is a gap from \[6\] to \[9\] meters. (Choice C) None of the above C None of the above

Answer 1

In this histogram, the peak is from 1 to 2 meters, and there is a noticeable gap from 6 to 9 meters. Therefore, statements A and B accurately describe the distribution of Josie's putts.

Step-by-step explanation:

To describe the length distribution of Josie's putts using a histogram, we can look for clusters, gaps, and peaks.

A cluster refers to a range where a large number of data points are concentrated. In Josie's histogram, clusters are present from 0 to 1 meters (20 putts) and from 1 to 3 meters where there are 26 and 22 putts respectively. The highest frequency of putts, which is from 1 to 2 meters with 26 putts, constitutes a peak. A gap is an interval where few or no data points exist; in this histogram, a gap is seen from 6 to 9 meters, where the number of putts drops significantly to counts of 5, 2, and 1 respectively.

Therefore, Choice A is accurate as it describes the peak from 1 to 2 meters. Choice B also seems appropriate as it recognizes the reduction in number of putts from 6 to 9 meters, which could be considered a gap.