Question

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.

Answer 1

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).

2. **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).

3. **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.

4. **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.