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Question

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

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: 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: 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.

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.
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Answer 1

To determine which histogram is symmetrical, we need to analyze the frequency distributions provided:

1. First Histogram: Frequencies are:

   • 12 to 14: 1
   • 14 to 16: 2
   • 16 to 18: 3
   • 18 to 20: 3
   • 20 to 22: 5
   • Shape: This histogram is not symmetrical; it has a peak towards the right.

2. Second Histogram: Frequencies are:

   • 12 to 14: 3
   • 14 to 16: 5
   • 16 to 18: 2
   • 18 to 20: 2
   • 20 to 22: 2
   • Shape: This histogram is not symmetrical; it rises to a peak and then decreases, but peaked toward the left.

3. Third Histogram: Frequencies are:

   • 12 to 14: 4
   • 14 to 16: 5
   • 16 to 18: 5
   • 18 to 20: 1
   • 20 to 22: 2
   • Shape: This histogram is not symmetrical; it has a peak between 14 to 18, with a drop on both sides.

4. Fourth Histogram: Frequencies are:

   • 12 to 14: 1
   • 14 to 16: 2
   • 16 to 18: 3
   • 18 to 20: 2
   • 20 to 22: 1
   • Shape: This histogram is symmetrical; it rises to a peak at 16 to 18 and drops evenly on both sides.

Conclusion: The histogram that is symmetrical is the fourth one.