Question
Which data displays show a data set with low ​variability?
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A dot plot has a number line labeled from 2 to 10. The dot plot contains one column of dots with 5 dots above 6.
3
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9
12
15
18
A dot plot has a number line labeled from 3 to 18. The dot plot contains the following columns of dots, where the number is listed first, and the number of dots is listed second: 3, 1; 6, 4; 9, 5; 12, 4; 15, 2; 18, 3.
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A histogram has a number line labeled from 2 to 10. The histogram contains two vertical bars of width 2 and unequal heights. The first bar is over the interval from 4 to 6. The second bar is over the interval from 6 to 8.
Question content area bottom
Part 1
Choose the correct answer below.
A.
2
4
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10
A histogram has a number line labeled from 2 to 10. The histogram contains two vertical bars of width 2 and unequal heights. The first bar is over the interval from 4 to 6. The second bar is over the interval from 6 to 8.
B.
2
4
6
8
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A dot plot has a number line labeled from 2 to 10. The dot plot contains one column of dots with 5 dots above 6.
C.
3
6
9
12
15
18
2
4
6
8
10
A dot plot has a number line labeled from 2 to 10. The dot plot contains one column of dots with 5 dots above 6.
3
6
9
12
15
18
A dot plot has a number line labeled from 3 to 18. The dot plot contains the following columns of dots, where the number is listed first, and the number of dots is listed second: 3, 1; 6, 4; 9, 5; 12, 4; 15, 2; 18, 3.
2
4
6
8
10
A histogram has a number line labeled from 2 to 10. The histogram contains two vertical bars of width 2 and unequal heights. The first bar is over the interval from 4 to 6. The second bar is over the interval from 6 to 8.
Question content area bottom
Part 1
Choose the correct answer below.
A.
2
4
6
8
10
A histogram has a number line labeled from 2 to 10. The histogram contains two vertical bars of width 2 and unequal heights. The first bar is over the interval from 4 to 6. The second bar is over the interval from 6 to 8.
B.
2
4
6
8
10
A dot plot has a number line labeled from 2 to 10. The dot plot contains one column of dots with 5 dots above 6.
C.
3
6
9
12
15
18
Answers
GPT-4o mini
To determine which data display shows a data set with low variability, we analyze the options based on how spread out the data points are around their mean.
1. **Dot Plot with 5 dots at 6**:
- The dot plot contains only one value (6) repeated multiple times (5 dots). This shows no variability because all data points are the same.
2. **Dot Plot with values 3, 6, 9, 12, 15, 18**:
- This distribution is spread out over a range from 3 to 18, indicating high variability, as there is a wide spread of data points.
3. **Histogram with two bars (one between 4-6 and the other between 6-8)**:
- The data is somewhat spread out but less uniform than it could be. Since there are only two bars, it may have some variability, but it's not as clear as the other distributions.
Given this analysis, the data display with the **lowest variability** is:
**B.** The dot plot with one column of dots above 6, since all the data points are the same, indicating no variability.
Thus, the correct answer is **B**.
1. **Dot Plot with 5 dots at 6**:
- The dot plot contains only one value (6) repeated multiple times (5 dots). This shows no variability because all data points are the same.
2. **Dot Plot with values 3, 6, 9, 12, 15, 18**:
- This distribution is spread out over a range from 3 to 18, indicating high variability, as there is a wide spread of data points.
3. **Histogram with two bars (one between 4-6 and the other between 6-8)**:
- The data is somewhat spread out but less uniform than it could be. Since there are only two bars, it may have some variability, but it's not as clear as the other distributions.
Given this analysis, the data display with the **lowest variability** is:
**B.** The dot plot with one column of dots above 6, since all the data points are the same, indicating no variability.
Thus, the correct answer is **B**.