Using the sample data in Table 1 above, determine the mean daily consumption of water.A 244.1lB 262.9lC 240.9lD 252.3l 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

Given:- The daily consumption of water across a municipal entity collected the sample data shown in…

Class (L) 100 < 150 150 < 200 200-250 250 < 300 300-350 350<400 Total Frequency, f Midpoint, m 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 Cumulative frequency 40 ? 272 ? 465 500

Class (L) 100 < 150 150 < 200 200-250 250 < 300 300-350 350<400 Total Frequency, f Midpoint, m 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 Cumulative frequency 40 ? 272 ? 465 500

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

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

A 244.1l
B 262.9l
C 240.9l
D 252.3l

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 Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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