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Sonora makes a histogram using the following dataset:

25, 25, 39, 46, 38, 52, 22, 65, 60, 38

Which histogram does she make?

(1 point)
Responses

An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 30, 30 to 40, 40 to 50, 50 to 60, and 60 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 30: 3; 30 to 40: 3; 40 to 50: 2; 50 to 60: 1; 60 to 70: 2.
Image with alt text: An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 30, 30 to 40, 40 to 50, 50 to 60, and 60 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 30: 3; 30 to 40: 3; 40 to 50: 2; 50 to 60: 1; 60 to 70: 2.

An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 25, 25 to 40, 40 to 55, 55 to 65, and 65 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 25: 1; 25 to 40: 5; 40 to 55: 2; 55 to 65: 1; 65 to 70: 1.
Image with alt text: An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 25, 25 to 40, 40 to 55, 55 to 65, and 65 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 25: 1; 25 to 40: 5; 40 to 55: 2; 55 to 65: 1; 65 to 70: 1.

An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 30, 30 to 40, 40 to 50, 50 to 60, and 60 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 30: 3; 30 to 40: 3; 40 to 50: 1; 50 to 60: 1; 60 to 70: 2.
Image with alt text: An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 30, 30 to 40, 40 to 50, 50 to 60, and 60 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 30: 3; 30 to 40: 3; 40 to 50: 1; 50 to 60: 1; 60 to 70: 2.

An illustration of a histogram shows the vertical axis ranging from 0 to 5 in increments of 1. The horizontal axis shows the following ranges: 20 to 30, 30 to 40, 40 to 50, 50 to 60, and 60 to 70. Bars are shown representing the frequencies of the following ranges: 20 to 30: 3; 30 to 40: 3; 40 to 50: 1; 50 to 60: 2; 60 to 70: 1.

1 answer

To create the histogram, we first need to categorize the given data into the specified ranges and count the frequencies.

The dataset provided is:

25, 25, 39, 46, 38, 52, 22, 65, 60, 38

Now we'll organize this data into the specified ranges:

  1. 20 to 30:

    • Values: 25, 25, 22 (count = 3)

  2. 30 to 40:

    • Values: 39, 38, 38 (count = 3)

  3. 40 to 50:

    • Values: 46 (count = 1)

  4. 50 to 60:

    • Values: 52 (count = 1)

  5. 60 to 70:

    • Values: 65, 60 (count = 2)

Now we compile the frequencies:

  • 20 to 30: 3
  • 30 to 40: 3
  • 40 to 50: 1
  • 50 to 60: 1
  • 60 to 70: 2

Now, based on the frequencies calculated above, the histogram will reflect the following:

  • 20 to 30: 3
  • 30 to 40: 3
  • 40 to 50: 1
  • 50 to 60: 1
  • 60 to 70: 2

Looking at the options provided:

  • The first option shows the frequencies: 20 to 30: 3, 30 to 40: 3, 40 to 50: 2, 50 to 60: 1, 60 to 70: 2 (incorrect for 40 to 50).
  • The second option has 25 to 40: 5 (incorrect).
  • The third option has 20 to 30: 3, 30 to 40: 3, 40 to 50: 1, 50 to 60: 1, 60 to 70: 2 (correct).
  • The fourth option has 20 to 30: 3, 30 to 40: 3, 40 to 50: 1, 50 to 60: 2, 60 to 70: 1 (incorrect for 60 to 70).

Thus, the correct histogram representation is the third option:

20 to 30: 3; 30 to 40: 3; 40 to 50: 1; 50 to 60: 1; 60 to 70: 2.