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Solve for Mean, Median, Mode and Standard Deviation

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The document exhibits a sample question for mean, median, mode, and standard deviation. Moreover, the document has an answer to the said question.

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  • June 13, 2024
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  • 2019/2020
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University of Southeastern Philippines
eBA 201 Managerial Statistics
Exercise 3

Name: Nathan Kit A. Berro

1.(50 points)The following data represent the life (in Hours) of a sample of 40 100-watt light
bulbs produced by ABC Manufacturing.

Life (in hours) Number of Bulbs

1,050 – 1149 4

950 – 1049 8

850 – 949 20

750 – 849 3

650 – 749 5

Midpoint
Cumulative
Class Interval Class Boundaries Frequency(f) of fm
Frequency
Class(m)
1,050-1,149 1,049.5-1,050.5 4 1,099.5 4,398 40
950-1,049 949.5-1,049.5 8 999.5 7,996 36
850-949 849.5-949.5 20 899.5 17,990 28
750-849 749.5-849.5 3 799.5 2,398.5 8
650-749 649.5-749.5 5 699.5 3,497.5 5
Total 40 36,280


a. Compute for the mean, median and mode

a.1 Mean = 907

mean = ΣƒiXi/n
= 36,
= 907

a.2 median = 909.5

Σƒi /2 = = 20 which is contained by 28, the cumulative frequency of the class interval
850-949. Therefore, the median class is 850-949.
Lower boundary (L) = 849.5

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