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next, we will add relative frequency to our frequency table. recall tha…

Question

next, we will add relative frequency to our frequency table.

recall that relative frequency ( = \frac{f}{n} ), where ( f ) is the class frequency and ( n ) is the total sample size.

there are 50 data values, so the total sample size is 50. therefore, to find relative frequency, divide each class frequency by 50.

complete the table.

class limitsfrequencyrelative frequency
39 – 4921( \frac{21}{50} = square )
50 – 6019( square )
61 – 711( square )
72 – 822( square )

Explanation:

Step1: Calculate for 39 - 49

Divide frequency (21) by total (50).
$\frac{21}{50} = 0.42$

Step2: Calculate for 50 - 60

Divide frequency (19) by total (50).
$\frac{19}{50} = 0.38$

Step3: Calculate for 61 - 71

Divide frequency (1) by total (50).
$\frac{1}{50} = 0.02$

Step4: Calculate for 72 - 82

Divide frequency (2) by total (50).
$\frac{2}{50} = 0.04$

Answer:

For 39 - 49: 0.42
For 50 - 60: $\frac{19}{50} = 0.38$
For 61 - 71: $\frac{1}{50} = 0.02$
For 72 - 82: $\frac{2}{50} = 0.04$