Question

question #2
determine the percentage frequencies for the following frequency distribution.

12.5%, 25%, 37.5%, 18.8%, 6.3%
12.5%, 25%, 37.5%, 21.2%, 5.7%
12.5%, 37.5%, 75%, 93.8%, 100%
12.5%, 37.5%, 67.5%, 88.8%, 100%

Explanation:

Step1: Calculate total frequency

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

Step2: Calculate percentage frequency for each class

• For \( 56 - 59 \): Percentage frequency \(=\frac{2}{16}\times100\% = 12.5\% \)
• For \( 60 - 63 \): Percentage frequency \(=\frac{4}{16}\times100\%=25\% \)
• For \( 64 - 67 \): Percentage frequency \(=\frac{6}{16}\times100\% = 37.5\% \)
• For \( 68 - 71 \): Percentage frequency \(=\frac{3}{16}\times100\%=18.75\%\approx18.8\% \)
• For \( 72 - 75 \): Percentage frequency \(=\frac{1}{16}\times100\% = 6.25\%\approx6.3\% \)

Answer:

12.5%, 25%, 37.5%, 18.8%, 6.3%