Question

In the set of data, one value has changed. Identify the value that is different in each set, then answer the questions. The time (minutes) that ten parents spent cooking dinner last night. Data set 1: 35,45,43,38,40,42,45,50,46,46 Data set 2:120,45,43,38,40,42,45,50,46,46 Use a calculator function to compute the standard deviation for each set. If the standard deviation changed, explain why that happened.

Answer 1

The value that is different in each set is that the standard deviation changed.

Step-by-step explanation:

Data set 1: 35,45,43,38,40,42,45,50,46,46

Data set 2:120,45,43,38,40,42,45,50,46,46

To compute the standard deviation for each set, you can use the calculator function. For Data set 1, the standard deviation is approximately 4.28, while for Data set 2, the standard deviation is approximately 15.87.

The standard deviation changed because the values in Data set 2 have a larger spread or variation compared to Data set 1. This is evident from the difference in the standard deviations.