Question

In: Statistics and Probability

33.57 26.54 38.34 31.44 26.86 27.78 25.21 29.01 36.42 54.33 24.54 30.49 24.49 41.50 29.07 41.75...

33.57 26.54 38.34 31.44 26.86 27.78 25.21 29.01 36.42 54.33 24.54 30.49 24.49 41.50 29.07 41.75 29.39 47.09 44.68 42.10
Use these data to construct:
33.23 28.21 27.74 30.08 40.81 47.78 28.99 27.38 33.48
2
Lecturer: Dr. Kazhan I. Mahmood
a. b. c. d. e. f. g.
A frequency distribution
A cumulative frequency distribution
A relative frequency distribution
A cumulative relative frequency distribution
A histogram
What percentage of the measurements are less than 30?
What percentage of the measurements are between 40 and 49.99?

Solutions

Expert Solution

ANSWER:

a,b,c,d:

Class Frequency Cummulative Frequency Relative Frequency Cummulative Relative Frequency
20 - 24.99 2 2 6.9 6.9
25 - 29.99 11 13 37.9 44.8
30 - 34.99 6 21 20.7 65.5
35 - 39.99 2 21 6.9 72.4
40 - 44.99 5 26 17.2 89.6
45 - 49.99 2 28 6.9 96.5
50 - 54.99 1 29 3.5 100
Total 29 100

Histogram:

e)

What percentage of the measurements are less than 30?

Frequency below CL 30 or

Class Frequency
20 - 24.99 2
25 - 29.99 11
Sum = 13
Percent = 45%

f)

What percentage of the measurements are between 40 and 49.99?

Class Frequency
40 - 44.99 5
45 - 49.99 2
Sum = 7
Percent = 24%

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