Question

both sets of values have an average of 13. is set as standard deviation smaller, larger, or about the same as set bs? (note: this question can be answered by knowing the concept of standard deviation without actually computing the standard deviation.) set a: 1, 2, 3, 23, 24, 25 set b: 8, 10, 12, 14, 16, 18 a. about the same b. larger c. unknown d. smaller

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the spread of data from the mean. Data points further from the mean increase the standard deviation.

Step2: Analyze Set A

In Set A: 1, 2, 3, 23, 24, 25, the values 1, 2, 3 are far from 23, 24, 25. There is a large spread around the mean of 13.

Step3: Analyze Set B

In Set B: 8, 10, 12, 14, 16, 18, the values are evenly spaced and close to each other around the mean of 13. The spread is smaller.

Answer:

D. Smaller