Using the sample data in Table 1 above, determine the median daily consumption of water. A 243.1lB 241.5lC 247.9lD 238.3l As part of a pilot study aimed at determining the daily consumption of water (in litres) across selected suburbs ofJohannesburg, Johannesburg Water SOC Ltd (JW), a municipal entity, collected the sample data shown in Table 1 below.Cumulative frequencyClass (L)100 < 150150 < 200200 < 250250 < 300300 < 350350 < 400TotalFrequency, f Midpoint, m40125W175130225275325375X7535Σffm5 00017 85029 250Y24 37513 125Σfmfm²625 0003 123 7506 581 250Z7 921 8754 921 875Σfm²40?272?465500

For a grouped frequency distribution, the median is defined as: Md=l+N2-cfhwhere, l=lower limit of…

Answered: Using the sample data in Table 1 above,…

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Using the sample data in Table 1 above, determine the median daily consumption of water.

A 243.1l
B 241.5l
C 247.9l
D 238.3l

As part of a pilot study aimed at determining the daily consumption of water (in litres) across selected suburbs of
Johannesburg, Johannesburg Water SOC Ltd (JW), a municipal entity, collected the sample data shown in Table 1 below.
Cumulative frequency
Class (L)
100 < 150
150 < 200
200 < 250
250 < 300
300 < 350
350 < 400
Total
Frequency, f Midpoint, m
40
125
W
175
130
225
275
325
375
X
75
35
Σf
fm
5 000
17 850
29 250
Y
24 375
13 125
Σfm
fm²
625 000
3 123 750
6 581 250
Z
7 921 875
4 921 875
Σfm²
40
?
272
?
465
500

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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