The table to the right shows the class frequency for each of the class intervals. Use this table to construct a histogram.

Question

Interval
Frequency
20minus29
5
30minus39
3
40minus49
8
50minus59
2
60minus69
4

Question content area bottom
Part 1
Which histogram below correctly models the data of the given​ table?
A.
A
B
C
D
E
0
2
4
6
8
Interval
Frequency

A histogram has a horizontal axis labeled Interval with labels A, B, C, D, and E and a vertical axis labeled Frequency from 0 to 8 in intervals of 1. The histogram contains vertical bars, where one vertical bar is centered over each horizontal axis label. The heights of the vertical bars are as follows, where the interval is listed first and the height is listed second from left to right: A, 4; B, 2; C, 8; D, 3; E, 5.
A: 20 - 29
B: 30 - 39
C: 40 - 49
D: 50 - 59
E: 60 - 69
B.
A
B
C
D
E
0
2
4
6
8
Interval
Frequency

A histogram has a horizontal axis labeled Interval with labels A, B, C, D, and E and a vertical axis labeled Frequency from 0 to 8 in intervals of 1. The histogram contains vertical bars, where one vertical bar is centered over each horizontal axis label. The heights of the vertical bars are as follows, where the interval is listed first and the height is listed second from left to right: A, 5; B, 3; C, 8; D, 2; E, 4.
A: 20 - 29
B: 30 - 39
C: 40 - 49
D: 50 - 59
E: 60 - 69
C.
A
B
C
D
E
0
2
4
6
8
Interval
Frequency

A histogram has a horizontal axis labeled Interval with labels A, B, C, D, and E and a vertical axis labeled Frequency from 0 to 8 in intervals of 1. The histogram contains vertical bars, where one vertical bar is centered over each horizontal axis label. The heights of the vertical bars are as follows, where the interval is listed first and the height is listed second from left to right: A, 5; B, 3; C, 7; D, 1; E, 3.
A: 20 - 29
B: 30 - 39
C: 40 - 49
D: 50 - 59
E: 60 - 69
D.
A
B
C
D
E
0
2
4
6
8
Interval
Frequency

Answer 1

To construct the histogram based on the provided data and validate which option correctly represents the frequency of each interval, let's summarize the data first:

• 20 - 29: 5
• 30 - 39: 3
• 40 - 49: 8
• 50 - 59: 2
• 60 - 69: 4

Now, let's evaluate each histogram option provided:

Option A

• A: 4
• B: 2
• C: 8
• D: 3
• E: 5

This option is incorrect since:

• A (20 - 29) should be 5 but is 4
• B (30 - 39) should be 3 but is 2
• C (40 - 49) is correct at 8
• D (50 - 59) should be 2 but is 3
• E (60 - 69) should be 4 but is 5

Option B

• A: 5
• B: 3
• C: 8
• D: 2
• E: 4

This option is correct since:

• A (20 - 29) is 5
• B (30 - 39) is 3
• C (40 - 49) is 8
• D (50 - 59) is 2
• E (60 - 69) is 4

Option C

• A: 5
• B: 3
• C: 7
• D: 1
• E: 3

This option is incorrect since:

• A (20 - 29) is 5
• B (30 - 39) is 3
• C (40 - 49) should be 8 but is 7
• D (50 - 59) should be 2 but is 1
• E (60 - 69) should be 4 but is 3

Conclusion

The histogram that correctly models the data of the given table is Option B.