Question

given the following data for the number of hours spent on homework by 8 students, determine if the data is consistent:

student	hours on homework
2	5
3	7
4	4
5	6
6	4
7	6
8	8

• mean: 5.375
• standard deviation: 1.69

a. no, the data is inconsistent
b. yes, the standard deviation is too small
c. no, the sample size is too small
d. yes, the data is consistent

Explanation:

Step1: Understand data consistency

Data consistency can be gauged by standard - deviation. A small standard deviation implies data points are close to the mean, indicating consistency.

Step2: Analyze given values

The mean is 5.375 and the standard deviation is 1.69. Since 1.69 is relatively small compared to the range of values (from 3 to 8), the data points are clustered around the mean.

Answer:

d. Yes, the data is consistent