The numbers of participants in various library programs are shown below.

Question

45, 34, 49, 63, 31, 30, 46, 53, 46, 51, 61, 33, 62, 40
Which histogram represents the data correctly?

A.
The histogram has a bar between 30 and 40 is raised to 5, a bar between 40 and 50 is raised to 4, a bar between 50 and 60 is raised to 3, and a bar between 60 and 70 is raised to 2.

B.
The histogram has a bar between 30 and 40 is raised to 4, a bar between 40 and 50 is raised to 5, a bar between 50 and 60 is raised to 2, and a bar between 60 and 70 is raised to 3.

C.
The histogram has a bar between 30 and 40 is raised to 2, a bar between 40 and 50 is raised to 4, a bar between 50 and 60 is raised to 5, and a bar between 60 and 70 is raised to 3.

D.
The histogram has a bar between 30 and 40 is raised to 2, a bar between 40 and 50 is raised to 3, a bar between 50 and 60 is raised to 4, and a bar between 60 and 70 is raised to 5.

Answer 1

A. The histogram has a bar between 30 and 40 is raised to 5, a bar between 40 and 50 is raised to 4, a bar between 50 and 60 is raised to 3, and a bar between 60 and 70 is raised to 2.

Answer 2

why

Answer 3

A quick tally on the given data shows that there are five entries between 30-40, four between 40-50, three between 50-60, and two between 60-70 which corresponds to the histogram given in option A. It's also critical to keep in mind that the boundaries i.e., 40, 50, and 60 belong to the upper-class limit in a histogram.

Here's the breakdown:
30-40: 34, 31, 33, 30 (4 entries)
40-50: 45, 46, 46, 40 (4 entries)
50-60: 53, 51 (2 entries)
60-70: 63, 61, 62 (3 entries)

So, option A is the correct answer.