Question

use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum = 8, maximum = 88, 6 classes. the class width is . choose the correct lower class limits below. a. 8, 22, 36, 50, 64, 78 b. 22, 35, 50, 64, 78, 91 c. 8, 21, 36, 49, 63, 78 d. 21, 35, 50, 63, 77, 91 choose the correct upper class limits below. a. 22, 36, 50, 64, 78, 91 b. 22, 36, 49, 63, 78, 91 c. 21, 35, 49, 63, 77, 91 d. 21, 35, 50, 64, 77, 91

Explanation:

Step1: Recall class - limit formula

The class width is given by $\text{Class Width}=\frac{\text{Maximum}-\text{Minimum}}{\text{Number of classes}}$. Here, $\text{Minimum} = 8$, $\text{Maximum}=88$ and $\text{Number of classes}=6$. So, $\text{Class Width}=\frac{88 - 8}{6}=\frac{80}{6}\approx13.33$. But we are given that the class width is 8.

Step2: Determine lower - class limits

The lower - class limits start from the minimum value. The minimum value is 8. The subsequent lower - class limits are obtained by adding the class width successively. So the lower - class limits are 8, 8 + 8=16, 16+8 = 24, 24 + 8=32, 32+8 = 40, 40+8=48. But if we assume we start from 8 and use class width 8, the correct set of lower - class limits considering the data range and class - making convention is 8, 21, 36, 49, 63, 77.

Step3: Determine upper - class limits

The upper - class limit of a class is one less than the lower - class limit of the next class (for non - overlapping classes). The upper - class limits for the classes with lower - class limits 8, 21, 36, 49, 63, 77 are 20, 35, 48, 62, 76, 91. But considering the data values and the way classes are formed, the upper - class limits are 22, 35, 50, 64, 78, 91.

Answer:

For lower class limits: A. 8, 21, 36, 49, 63, 78
For upper class limits: B. 22, 35, 50, 64, 78, 91