Travis is testing how far he can throw a baseball to prepare himself for the season. He makes 16
throws and records the length of each throw in feet. The results are provided in the accompanying table.
236
240
232
242
238
235
228
245
247
239
234
238
241
227
243
238
Travis says that the histogram provided below could be used to represent the data.
A histogram has a horizontal axis labeled Distance in feet that goes from 220 to 260 in increments of 5 and a vertical axis labeled Frequency that goes from 0 to 8 in increments of 1. Five bars of width 5 extend from the horizontal axis, starting at horizontal axis value 230. The heights of the bars are as follows, where the left horizontal axis value is listed first and the height is listed second: 230, 2; 235, 2; 240, 6; 245, 4; 250, 2.
Show whether the histogram Travis created is correct and, if not, explain how the histogram could be corrected.
(4 points)
Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
3
The answer is mostly correct. The student made small errors while solving.
The answer shows that the student used some problem-solving skills and reasoning.
Most work is shown or explained.
2
The answer is partially correct. The student made errors while solving.
The answer shows that the student used some problem-solving skills or reasoning.
Some work is shown or explained.
1
The answer is incorrect. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Little or no work is shown.
0 The question is not answered.
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The histogram Travis created is not correct. The correct histogram should have bars of width 5 extending from the horizontal axis starting at 230, with heights as follows:
230, 2
235, 3
240, 4
245, 3
250, 1
To correct the histogram, Travis should adjust the heights of the bars to match the frequency of each length recorded in the data.