Question

The tally table shows the frequency of a set of math test scores.

The tally table titled Math Test Scores has 2 tally marks representing 2 students who scored between 60 and 69, 4 tally marks representing 4 students who scored between 70 and 79, 11 tally marks representing 11 students who scored between 80 and 89, and 15 tally marks represent 15 students who scored between 90 and 99.

Which histogram represents the set of data in the table?


The histogram has scores on the x-axis and number of students from 0 to 16 in increments of 2 on the y-axis. There are 2 students scored between 0 and 69, 4 students scored between 70 and 79, 11 students scored between 80 and 89, and 14 students scored between 90 and 99.


The histogram has scores on the x-axis and number of students from 0 to 16 in increments of 2 on the y-axis. There are 15 students scored between 0 and 69, 11 students scored between 70 and 79, 4 students scored between 80 and 89, and 2 students scored between 90 and 99.


The histogram has scores on the x-axis and number of students from 0 to 16 in increments of 2 on the y-axis. There are 2 students scored between 0 and 69, 4 students scored between 70 and 79, 10 students scored between 80 and 89, and 10 students scored between 90 and 99.


The histogram has scores on the x-axis and number of students from 0 to 16 in increments of 2 on the y-axis. There are 4 students scored between 0 and 69, 2 students scored between 70 and 79, 12 students scored between 80 and 89, and 16 students scored between 90 and 99.

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Answers

Answered by GPT-4o mini
To find the correct histogram that represents the data from the tally table of the math test scores, let’s summarize the frequencies from the provided information:

- **60 to 69:** 2 students
- **70 to 79:** 4 students
- **80 to 89:** 11 students
- **90 to 99:** 15 students

Now, we can check the given histograms against these frequencies:

1. **First Histogram:**
- 0 to 69: 2 students
- 70 to 79: 4 students
- 80 to 89: 11 students
- 90 to 99: 14 students
- This does not match; it is incorrect (last interval is not correct).

2. **Second Histogram:**
- 0 to 69: 15 students
- 70 to 79: 11 students
- 80 to 89: 4 students
- 90 to 99: 2 students
- This does not match at all; it is incorrect.

3. **Third Histogram:**
- 0 to 69: 2 students
- 70 to 79: 4 students
- 80 to 89: 10 students
- 90 to 99: 10 students
- This does not match; it is incorrect (80-89 and 90-99 do not match).

4. **Fourth Histogram:**
- 0 to 69: 4 students
- 70 to 79: 2 students
- 80 to 89: 12 students
- 90 to 99: 16 students
- This does not match; it is incorrect.

From the analysis, it appears that none of the provided histograms corresponds with the tally data you've given exactly.

Therefore, the correct histogram should show:
- 2 students for 60 to 69
- 4 students for 70 to 79
- 11 students for 80 to 89
- 15 students for 90 to 99

It seems like all provided options contain mismatched frequencies. None are the correct representation of the data.
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