Question

5) A data set with whole numbers has a low value 20 and high value of 82. Find the class width and class limits for a frequency table with 7 classes.

Answer 1

Class width = 9

Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.

Explanation:

We are given;

Highest value = 82

Lowest value = 20

Frequency = 7

Formula for class width is;

Class width = (Highest Value - Lowest Value)/number of classes

Class width = (82 - 20)/7

Class width = 8.8 ≈ 9

Now,since class width is 9, limits between 20 and 82 would be done at intervals of 9.

Thus;

Class limits = 20 - 28; 20 - 28; 29 - 37; 38 - 46; 47 - 55; 56 - 64; 65 - 73; 74 - 82.