question archive The frequency distribution below was constructed from data collected from a group of 25 students
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The frequency distribution below was constructed from data collected from a group of 25 students.
Height
(in Inches)
Frequency
58 - 63 3
64 - 69 5
70 - 75 2
76 - 81 6
82 - 87 4
88 - 93 3
94 - 99 2
a. Construct a relative frequency distribution.
b. Construct a cumulative frequency distribution.
c. Construct a cumulative relative frequency distribution
Answer:
a)
Relative Frequency Distribution:
A relative frequency distribution is obtained by using the formula.
Relative frequency=f/n.
b)
Cumlative frequency distribution:
We have to add all the previous relative frequencies to the relative frequency for the current row.
c)
Cumulative relative frequency distribution:
The cumulative relative frequency is obtained by using the formula is
Cumulative relative Frequency=Cumulative frequency/sample size.
Because of rounding, the relative frequency column may not always sum to one and the last entry in
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the cumulative relative frequency column may not be one, they each should be close to one.