The following are 80 measurements of the daily emissions (in tons)of sulfur diox

Question

The following are 80 measurements of the daily emissions (in tons)of sulfur dioxide from an
industrial plant.
15.8 26.4   17.3   11.2  23.9   24.8   18.7   13.9  9.0   13.2
22.7   9.8 6.2   14.7  17.5   26.1 12.8   17.6  17.6 23.7
26.8   22.7   22.7   20.5  11.0 20.9   15.5   16.7  16.7   10.7
19.1   15.2   15.2 26.6  20.4   21.4 19.2   16.9 16.9   19.0
18.5 23.0 23.0   20.1 16.2   18.0   7.7   23.5  23.5 14.5
18.4   29.6   29.6   17.0  20.8   24.3   22.5   18.4  18.4   18.1
8.3   21.9   21.9   22.3  13.3 11.8   19.3 25.7 25.7 31.8
25.9 10.5 10.5 27.5   18.1 17.9   9.4   20.1   20.1  28.5
Note. Please consider the measurements: 6.2, 7.7, 8.3, 9.0, 9.8 andany other tens digit as 06.2, 07.7,
08.3, 09.0, and 09.8 respectively so that each measurement is a3-digit character. Using the first
two digits of the measurement as your stem, construct a stem andleaf display of the data above.
Using the display determine the following

i) The median Q2.

ii) The 1st quartile Q1

iii) The 3rd Quartile Q3

iv) The inter-quartile range, Q3-Q1

(just need help on checking the results, no need to draw thedisplay)

Explanation / Answer

Median = 18.6 Q1 = 15.35 Q3 = 22.85 IQR = 7.5

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