Here are data sets showing the typing speeds in words per minute of two different people.

Person A: 40 44 37 42 43
Person B: 50 41 35 38 37
Which of the following descriptions is true about the data?

(1 point)
Responses

Based on the median, Person B has a faster typing speed.
Based on the median, Person B has a faster typing speed.

Based on the mean, Person B has a faster typing speed.
Based on the mean, Person B has a faster typing speed.

The mode is not a useful measure of center to describe the data sets.
The mode is not a useful measure of center to describe the data sets.

Person A had a greater range of data than Person B.

1 answer

Let's analyze the provided data sets for both Person A and Person B.

Person A: 40, 44, 37, 42, 43
Person B: 50, 41, 35, 38, 37

  1. Calculating the median:
    • For Person A, when arranged in order: 37, 40, 42, 43, 44. The median (middle value) is 42.
    • For Person B, when arranged in order: 35, 37, 38, 41, 50. The median is 38.

Verdict: Based on the median, Person A (42) has a faster typing speed than Person B (38).

  1. Calculating the mean:
    • For Person A: (40 + 44 + 37 + 42 + 43) / 5 = 42.2
    • For Person B: (50 + 41 + 35 + 38 + 37) / 5 = 40.2

Verdict: Based on the mean, Person A (42.2) has a faster typing speed than Person B (40.2).

  1. Calculating the mode:
    • Both datasets have no repeating numbers, so there is no mode for both Person A and Person B.

Verdict: The mode is not a useful measure of center to describe the data sets.

  1. Calculating the range:
    • For Person A: 44 - 37 = 7
    • For Person B: 50 - 35 = 15

Verdict: Person B had a greater range of data (15) than Person A (7).

Based on this analysis, the true description about the data set is:

  • The mode is not a useful measure of center to describe the data sets.

Thus, that is the correct response to choose.