To correctly model the data with a histogram, you want to match the frequency values with the respective intervals. Here's the data from the table:
- 20-29: 5
- 30-39: 4
- 40-49: 1
- 50-59: 2
- 60-69: 7
You need to find the histogram that has bars of the correct heights aligned with these intervals. Reviewing the options given:
Option A has the following frequencies for each interval:
- A (20-29): 5
- B (30-39): 4
- C (40-49): 0
- D (50-59): 1
- E (60-69): 6
This option is incorrect because the frequencies for the 40-49 and 60-69 intervals are incorrect.
Option B has the following frequencies for each interval:
- A (20-29): 6
- B (30-39): 5
- C (40-49): 2
- D (50-59): 3
- E (60-69): 8
This option is incorrect because none of the frequencies match the given data.
Option C has the following frequencies for each interval:
- A (20-29): 7
- B (30-39): 2
- C (40-49): 1
- D (50-59): 4
- E (60-69): 5
This option is incorrect because none of the intervals except 40-49 have the correct frequencies.
Option D has the following frequencies for each interval:
- A (20-29): 5
- B (30-39): 4
- C (40-49): 1
- D (50-59): 2
- E (60-69): 7
This option is correct as all the frequencies match the given data.
Therefore, the correct histogram is option D.
The table to the right shows the class frequency for each of the class intervals. Use this table to construct a histogram.
Interval
Frequency
20minus29
5
30minus39
4
40minus49
1
50minus59
2
60minus69
7
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, 5; B, 4; C, 0; D, 1; E, 6.
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, 6; B, 5; C, 2; D, 3; E, 8.
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, 7; B, 2; C, 1; D, 4; E, 5.
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
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, 4; C, 1; D, 2; E, 7.
A: 20 - 29
1 answer