Question

Question
Use the image to answer the question.

A histogram plots the frequency of different numbers. The x-axis is labeled “Number” and ranges from 1 to 6 in unit increments. The y-axis is labeled “Frequency” and ranges from 0 to 5 in unit increments. The histogram shows six bars of different heights representing the frequency of the numbers. The numbers and associated frequencies are as follows: 1: 2; 2: 5; 3: 4; 4: 2; 5: 3; 6: 4.

Anya made a histogram to display the results of data from a cube being rolled 20 times using a random number generator. Which outcomes match Anya’s histogram?

(1 point)
Responses

4, 2, 3, 6, 1, 2, 5, 4, 5, 1, 6, 5, 2, 3, 5, 2, 6, 3, 6, 2
4, 2, 3, 6, 1, 2, 5, 4, 5, 1, 6, 5, 2, 3, 5, 2, 6, 3, 6, 2

4, 2, 3, 6, 1, 2, 5, 4, 3, 1, 6, 5, 2, 3, 5, 2, 6, 5, 6, 2
4, 2, 3, 6, 1, 2, 5, 4, 3, 1, 6, 5, 2, 3, 5, 2, 6, 5, 6, 2

4, 2, 3, 6, 1, 2, 5, 4, 3, 1, 5, 5, 2, 3, 5, 2, 6, 3, 6, 2
4, 2, 3, 6, 1, 2, 5, 4, 3, 1, 5, 5, 2, 3, 5, 2, 6, 3, 6, 2

4, 2, 3, 6, 1, 2, 5, 4, 3, 1, 6, 5, 2, 3, 5, 2, 6, 3, 6, 2

Answers

GPT-4o mini
To determine which outcome matches Anya's histogram, we need to check the frequency of each number from the options provided against the frequencies in the histogram.

The histogram shows the following frequencies:
- 1: 2
- 2: 5
- 3: 4
- 4: 2
- 5: 3
- 6: 4

Now we will evaluate each option to see if any matches these frequencies.

1. **Option 1:**
- 1: 2
- 2: 5
- 3: 4
- 4: 2
- 5: 3
- 6: 2

This does not match, as the frequency for 6 is incorrect (it should be 4).

2. **Option 2:**
- 1: 2
- 2: 5
- 3: 4
- 4: 2
- 5: 3
- 6: 3

This does not match, as the frequency for 6 is incorrect (it should be 4).

3. **Option 3:**
- 1: 2
- 2: 5
- 3: 4
- 4: 2
- 5: 3
- 6: 4

This matches all frequencies correctly.

4. **Option 4:**
- 1: 2
- 2: 5
- 3: 4
- 4: 2
- 5: 3
- 6: 2

This does not match, as the frequency for 6 is incorrect (it should be 4).

Therefore, the option that matches Anya's histogram is **Option 3**.