As part of a pilot study aimed at determining the daily consumption of water (in litres) across selected suburbs Johannesburg, Johannesburg Water SOC Ltd (JW), a municipal entity, collected the sample data shown in Table 1 belo Cumulative frequency Class (L) 100 < 150 150 < 200 200 < 250 250 < 300 300 < 350 350 < 400 Total Frequency, f Midpoint, w 40 W 130 X 75 35 Σf 125 175 225 275 325 375 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

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Question 1 
Determine the missing values represented by W, X, Y, and Z.


A    W = 118; X = 102; Y = 35 450 and Z = 6 923 750
B    W = 102; X = 118; Y = 32 450 and Z = 8 923 750
C    W = 105; X = 115; Y = 32 450 and Z = 8 923 750
D    W = 102; X = 118; Y = 37 450 and Z = 6 923 750

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
Transcribed Image Text: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
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