Students were asked, "How stressed have you been in the last week, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution below. Construct a histogram and frequency polygon for the data.
Stress Rating
0
1
2
3
4
5
6
7
8
9
10
Frequency
3
1
3
17
17
14
13
34
33
14
19
To construct a histogram and frequency polygon for the data, we begin by plotting stress rating on the x-axis and frequency on the y-axis.
Histogram:
- The x-axis will have stress ratings from 0 to 10.
- The y-axis will represent frequency.
Frequency Polygon:
- Plot points at the midpoints of each interval on the x-axis.
- Connect the midpoints with line segments to create a frequency polygon.
Plotting the data:
Stress Rating (x-axis):
0 1 2 3 4 5 6 7 8 9 10
Frequency (y-axis):
3 1 3 17 17 14 13 34 33 14 19
Histogram:
| x
40 |
35 | x
30 | ×
25 | x
20 | x
15 | x
10 | x
5 | x x x
-----------------
0 1 2 3 4 5 6 7 8 9 10
Frequency Polygon:
| x
40 |
35 | x--------x
30 | x
25 | x
20 | x--------x
15 | x
10 | x
5 | x x x
-----------------
0 1 2 3 4 5 6 7 8 9 10
The histogram and frequency polygon for the data have been constructed.