Question

51,51,52,52,53,54,55,55, 57,57,57,58,58,58,58,60,62,87 (data) which histogram represents the data? options a, b, c, d (each with a histogram)

Explanation:

To determine which histogram is appropriate, we first analyze the data: 51, 51, 52, 52, 53, 53, 54, 55, 55, 57, 57, 57, 58, 58, 58, 58, 60, 62, 62.

Step 1: Group the data by intervals (e.g., 50 - 54, 55 - 59, 60 - 69)

• 50 - 54: Values are 51, 51, 52, 52, 53, 53, 54. Count = 7.
• 55 - 59: Values are 55, 55, 57, 57, 57, 58, 58, 58, 58. Count = 9.
• 60 - 69: Values are 60, 62, 62. Count = 3.

Step 2: Compare with histograms

• Option A: Likely misrepresents counts (e.g., 50 - 54, 55 - 59, 60 - 69 counts don’t match 7, 9, 3).
• Option B: Counts appear too uniform (not 7, 9, 3).
• Option C: Matches the counts: 50 - 54 (7), 55 - 59 (9), 60 - 69 (3) in bar heights.
• Option D: Bar heights don’t align with the calculated counts.

Answer:

C (the histogram labeled "C" with appropriate bar heights for 50 - 54, 55 - 59, 60 - 69 intervals)