graphic form the variability of the 2 examples.
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Week3meanmedianandmodefinal.docxREV/710 v4
Mean, Median, and Mode
REV/710 v4
Page 2 of 2
Mean, Median, and Mode
Find the mean, median, mode, range, interquartile range, and standard deviation of the following two examples.
Example 1
|
No. of persons |
|
|
200 |
24 |
|
250 |
26 |
|
180 |
16 |
|
300 |
20 |
|
350 |
6 |
|
280 |
30 |
Solution
|
X (income) |
No. of persons |
Fx |
CF |
(x-m)^2 |
(x-m)^2*f |
|
180 |
16 |
2880 |
16 |
5108.73 |
81739.75 |
|
200 |
24 |
4800 |
40 |
2649.72 |
63593.23 |
|
250 |
26 |
6500 |
66 |
2.18 |
56.60 |
|
280 |
30 |
8400 |
96 |
813.65 |
24409.57 |
|
300 |
20 |
6000 |
116 |
2354.64 |
47092.72 |
|
350 |
6 |
2100 |
122 |
9707.09 |
58242.57 |
|
Total |
122 |
30680 |
|
20636.01 |
275134.43 |
Mean: 251.47
Median: 250
Mode: 280
Range: 170
Interquartile Range: 30
Standard Deviation: 47.49
Example 2
|
X (income) |
No. of persons |
Cumulative frequency (cf) |
|
180 |
16 |
16 |
|
200 |
24 |
40 |
|
250 |
26 |
66 |
|
280 |
30 |
96 |
Solution
|
X (income) |
No. of persons |
Cumulative frequency (cf) |
xf |
(x-m)^2 |
(x-m)^2*f |
|
180 |
16 |
16 |
2880 |
3047.96 |
48767.36 |
|
200 |
24 |
40 |
4800 |
1239.63 |
29751.04 |
|
250 |
26 |
66 |
6500 |
218.79 |
5688.63 |
|
280 |
30 |
96 |
8400 |
2006.29 |
60188.80 |
|
Total |
96 |
218 |
22580 |
6512.67 |
144395.83 |
Mean: 235.21
Median: 250
Mode: 280
Range: 100
Interquartile Range: 100
Standard Deviation: 38.78
Copyright 2020 by University of Phoenix. All rights reserved.
Copyright 2020 by University of Phoenix. All rights reserved.
