Below is a set of data that shows the sales made by 20 staff members in the sales department
at XYZ Limited for the months of August and September 2020.
Sales Person August September
1 21900 12600
2 12400 13500
3 9800 22000
4 6800 34000
5 13050 12500
6 14900 25540
7 15250 21700
8 8900 67800
9 16451 18970
10 13230 16450
11 16450 23220
12 12890 21670
13 13670 17600
14 14700 32420
15 10430 23570
16 11670 14700
17 13200 22400
18 11100 21600
19 19800 26400
20 15700 19700
Based on the above table:
(a) What do the values of the mean and median tell you about the shape of the distribution of
data?
(b) Which month has the greatest spread of data?
(a)
Mean:
August - 13465.5
September - 21470
Median:
August - 13265
September - 21635
The mean and median values for both August and September are relatively close to each other, which suggests that the data is evenly distributed and not skewed in any particular direction.
(b)
To determine which month has the greatest spread of data, we can calculate the range for each month.
Range:
August - 15100 (21900 - 6800)
September - 55200 (67800 - 12600)
From the calculated ranges, it is clear that September has the greatest spread of data, with a range of 55200 compared to August's range of 15100.