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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: 1; 50 to 60: 2; 60 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 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.

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: 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 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.

1 answer

To determine which histogram accurately represents Sonora's dataset (25, 25, 39, 46, 38, 52, 22, 65, 60, 38), we need to calculate the frequencies for each of the specified ranges.

  1. Calculating Frequencies:
    • 20 to 30: 22, 25, 25 → 3 counts
    • 30 to 40: 39, 38, 38 → 3 counts
    • 40 to 50: 46 → 1 count
    • 50 to 60: 52, 60 → 2 counts
    • 60 to 70: 65 → 1 count

Now we have the following frequency counts for the given ranges:

  • 20 to 30: 3
  • 30 to 40: 3
  • 40 to 50: 1
  • 50 to 60: 2
  • 60 to 70: 1
  1. Comparing to Given Histogram Options:
    • Option 1:
      • 20 to 30: 3
      • 30 to 40: 3
      • 40 to 50: 1
      • 50 to 60: 2
      • 60 to 70: 1
    • Option 2:
      • 20 to 25: 1
      • 25 to 40: 5
      • 40 to 55: 2
      • 55 to 65: 1
      • 65 to 70: 1
    • Option 3:
      • 20 to 30: 3
      • 30 to 40: 3
      • 40 to 50: 2
      • 50 to 60: 1
      • 60 to 70: 2
    • Option 4:
      • 20 to 30: 3
      • 30 to 40: 3
      • 40 to 50: 1
      • 50 to 60: 1
      • 60 to 70: 2

The first and fourth options match the calculated frequencies.

  1. Final Answer: The correct histogram representation based on the datasets is Option 1 and Option 4 since they both match the calculated frequencies:
  • 20 to 30: 3
  • 30 to 40: 3
  • 40 to 50: 1
  • 50 to 60: 2
  • 60 to 70: 1

Since also only one answer option can be taken as "correct", if we pick one, Option 1 is likely the more straight forward one to select.