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Describe the dataset. Which histogram is symmetrical?(1 point)

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A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 3 at range 12 to 14; 5 at range 14 to 16; 2 at range 16 to 18; 2 at range 18 to 20; 2 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 2 at range 18 to 20; 1 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 1 at range 12 to 14; 2 at range 14 to 16; 3 at range 16 to 18; 3 at range 18 to 20; 5 at range 20 to 22.

A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
Image with alt text: A histogram shows the horizontal axis ranging from 12 to 22 in increments of 2 and the vertical axis ranging from 0 to 5 in increments of 1. The frequency plotted is as follows: 4 at range 12 to 14; 5 at range 14 to 16; 5 at range 16 to 18; 1 at range 18 to 20; 2 at range 20 to 22.
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1 answer

To determine which histogram is symmetrical, we need to analyze the frequency distribution of each histogram provided.

  1. First Histogram:

    • 12-14: 3
    • 14-16: 5
    • 16-18: 2
    • 18-20: 2
    • 20-22: 2
    • Distribution: This histogram is not symmetrical, as the frequencies do not mirror around a central value.

  2. Second Histogram:

    • 12-14: 1
    • 14-16: 2
    • 16-18: 3
    • 18-20: 2
    • 20-22: 1
    • Distribution: This histogram is symmetrical, as the frequency counts on both sides of the central value (16-18) mirror each other (1, 2, 3, 2, 1).

  3. Third Histogram:

    • 12-14: 1
    • 14-16: 2
    • 16-18: 3
    • 18-20: 3
    • 20-22: 5
    • Distribution: This histogram is not symmetrical because the frequencies do not mirror around the center (5 on one end does not balance the lower frequencies on the other).

  4. Fourth Histogram:

    • 12-14: 4
    • 14-16: 5
    • 16-18: 5
    • 18-20: 1
    • 20-22: 2
    • Distribution: This histogram is not symmetrical because the frequency distribution does not mirror around a central point.

Conclusion: The second histogram is symmetrical.