Question

question #10
given the following frequency distribution, what are the correct relative frequencies?
height (in.) frequency
56 - 59 2
60 - 63 4
64 - 67 6
68 - 71 3
72 - 75 1
2/4, 4/6, 6/3, 3/1
2, 6, 12, 15, 16
2/16, 4/16, 6/16, 3/16, 1/16
2/2, 4/6, 6/12, 3/15, 1/16

Explanation:

Step1: Calculate total frequency

Total frequency \( n=2 + 4+6 + 3+1=16 \)

Step2: Calculate relative frequency for each class

Relative frequency \(=\frac{\text{Frequency of class}}{\text{Total frequency}}\)
For \(56 - 59\): \(\frac{2}{16}\)
For \(60 - 63\): \(\frac{4}{16}\)
For \(64 - 67\): \(\frac{6}{16}\)
For \(68 - 71\): \(\frac{3}{16}\)
For \(72 - 75\): \(\frac{1}{16}\)

Answer:

\(2/16, 4/16, 6/16, 3/16, 1/16\)