Question

frequency table
real limit score f rel. f cf % c% percentile rank
5.5~6.5 6 1 0.05 20 5% 100%
4.5~5.5 5 0 0.00 19 0% 95%
3.5~4.5 4 2 0.10 19 10% 95%
2.5~3.5 3 3 0.15 17 15% 85%
1.5~2.5 2 10 0.50 14 50% 70%
0.5~1. 1 4 0.20 4 20% 20%
n = 20
fill in the blanks in the table.

Explanation:

Step1: Calculate relative frequency (Rel. f) for score 3

Relative frequency is frequency (f) divided by total number of data points (N). Given f = 3 and N = 20, so Rel. f=$\frac{3}{20}= 0.15$.

Step2: Calculate percentage (%) for score 4

Percentage is relative frequency multiplied by 100. Given Rel. f = 0.10, so % =$0.10\times100 = 10\%$.

Step3: Calculate cumulative percentage (C%) for score 3

Cumulative percentage is calculated based on cumulative frequency (Cf). Cumulative frequency for score 3 is 17. Total N = 20. So C%=$\frac{17}{20}\times100 = 85\%$.

Answer:

The filled - in values are: For score 3, Rel. f = 0.15; for score 4, % = 10%; for score 3, C% = 85%.