A lawn care business is reviewing the number of lawns they mowed during the last 14 weeks. The data is asfollows: 41, 36, 20, 28, 30, 24, 24, 31, 22, 34, 25, 27, 27, 25a) Create a frequency table using 20 – 24 as the first interval.b) Draw a histogram of the frequency table.c) Describe the shape of the data set (distribution)
Question
A lawn care business is reviewing the number of lawns they mowed during the last 14 weeks. The data is asfollows: 41, 36, 20, 28, 30, 24, 24, 31, 22, 34, 25, 27, 27, 25a) Create a frequency table using 20 – 24 as the first interval.b) Draw a histogram of the frequency table.c) Describe the shape of the data set (distribution)
Solution 1
a) Frequency Table:
| Interval | Frequency |
|---|---|
| 20-24 | 3 |
| 25-29 | 6 |
| 30-34 | 3 |
| 35-39 | 1 |
| 40-44 | 1 |
b) To draw a histogram, you would need graph paper or a software program that can create graphs. The intervals would be on the x-axis and the frequency on the y-axis. Each interval would have a bar that reaches up to its frequency.
c) The shape of the data set or distribution appears to be somewhat skewed to the right, as there are more data points in the lower intervals (20-29) than in the higher ones (30-44). However, without a visual representation, it's hard to definitively describe the shape.
Solution 2
a) Frequency Table:
| Interval | Frequency |
|---|---|
| 20-24 | 3 |
| 25-29 | 6 |
| 30-34 | 3 |
| 35-39 | 1 |
| 40-44 | 1 |
b) To draw a histogram, you would need graph paper or a software program that can create graphs. The intervals would be on the x-axis and the frequency on the y-axis. Each interval would have a bar that reaches up to its frequency.
c) The shape of the data set or distribution appears to be somewhat skewed to the right, as there are more data points in the lower intervals (20-29) than in the higher ones (30-44). However, without a visual representation, it's hard to definitively describe the shape.
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