Mathematics, 20.09.2020 09:01, emmareese2022
The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of houses in Perth, Australia.
4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1 11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5 0.2 1.6
7.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.4 8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.2 23.4 0.4 31.1
5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3 7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.2 26.7
5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2 8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7 1.2 0.8
5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6 10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6 18.2
7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 33.1 6.8 11.3 9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2 26.1
8.3 3.2 4.9 5.0 2.5 6.0 8.2 6.3 3.8 6.0 1.5 3.1
Required:
a. Draw a stem and leaf plot of these data.
b. Draw the cumulative relative frequencies histogram and ogive.
c. Find 5-number-summary and draw the box plot.
d. What proportion of the observations in this sample are less than 6?
e. What proportion of the observations are at least 10?
f. What proportion of the observations are between 4 and 8?
Answers: 1
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