Question
Find the range and mean of each data set. Use your results to compare the two data sets.
Set A:
2 12 6 17 21
Set B:
14 17 15 18 15
Question content area bottom
Part 1
The range of set A is
enter your response here. (Type an integer or a decimal.)
The mean of set A is
enter your response here. (Type an integer or a decimal.)
The range of set B is
enter your response here. (Type an integer or a decimal.)
The mean of set B is
enter your response here. (Type an integer or a decimal.)
The range of set A is
▼
equal to
greater than
less than
the range of set B.
The mean of set A is
▼
greater than
equal to
less than
the mean of set B.
The data values in set A are
▼
more
less
spread out than the data values in set B.
Set A:
2 12 6 17 21
Set B:
14 17 15 18 15
Question content area bottom
Part 1
The range of set A is
enter your response here. (Type an integer or a decimal.)
The mean of set A is
enter your response here. (Type an integer or a decimal.)
The range of set B is
enter your response here. (Type an integer or a decimal.)
The mean of set B is
enter your response here. (Type an integer or a decimal.)
The range of set A is
▼
equal to
greater than
less than
the range of set B.
The mean of set A is
▼
greater than
equal to
less than
the mean of set B.
The data values in set A are
▼
more
less
spread out than the data values in set B.
Answers
GPT-4o mini
Let's first calculate the range and mean for each set.
### Set A:
**Data:** 2, 12, 6, 17, 21
1. **Range of Set A:**
- Maximum value = 21
- Minimum value = 2
- Range = Maximum - Minimum = 21 - 2 = 19
2. **Mean of Set A:**
- Mean = (Sum of values) / (Number of values)
- Sum = 2 + 12 + 6 + 17 + 21 = 58
- Mean = 58 / 5 = 11.6
### Set B:
**Data:** 14, 17, 15, 18, 15
1. **Range of Set B:**
- Maximum value = 18
- Minimum value = 14
- Range = Maximum - Minimum = 18 - 14 = 4
2. **Mean of Set B:**
- Mean = (Sum of values) / (Number of values)
- Sum = 14 + 17 + 15 + 18 + 15 = 79
- Mean = 79 / 5 = 15.8
### Summary:
- **Range of Set A:** 19
- **Mean of Set A:** 11.6
- **Range of Set B:** 4
- **Mean of Set B:** 15.8
### Comparison:
- The range of Set A is **greater than** the range of Set B.
- The mean of Set A is **less than** the mean of Set B.
- The data values in Set A are **more** spread out than the data values in Set B.
### Final Answers:
- The range of set A is **19**.
- The mean of set A is **11.6**.
- The range of set B is **4**.
- The mean of set B is **15.8**.
- The range of set A is **greater than** the range of set B.
- The mean of set A is **less than** the mean of set B.
- The data values in set A are **more** spread out than the data values in set B.
### Set A:
**Data:** 2, 12, 6, 17, 21
1. **Range of Set A:**
- Maximum value = 21
- Minimum value = 2
- Range = Maximum - Minimum = 21 - 2 = 19
2. **Mean of Set A:**
- Mean = (Sum of values) / (Number of values)
- Sum = 2 + 12 + 6 + 17 + 21 = 58
- Mean = 58 / 5 = 11.6
### Set B:
**Data:** 14, 17, 15, 18, 15
1. **Range of Set B:**
- Maximum value = 18
- Minimum value = 14
- Range = Maximum - Minimum = 18 - 14 = 4
2. **Mean of Set B:**
- Mean = (Sum of values) / (Number of values)
- Sum = 14 + 17 + 15 + 18 + 15 = 79
- Mean = 79 / 5 = 15.8
### Summary:
- **Range of Set A:** 19
- **Mean of Set A:** 11.6
- **Range of Set B:** 4
- **Mean of Set B:** 15.8
### Comparison:
- The range of Set A is **greater than** the range of Set B.
- The mean of Set A is **less than** the mean of Set B.
- The data values in Set A are **more** spread out than the data values in Set B.
### Final Answers:
- The range of set A is **19**.
- The mean of set A is **11.6**.
- The range of set B is **4**.
- The mean of set B is **15.8**.
- The range of set A is **greater than** the range of set B.
- The mean of set A is **less than** the mean of set B.
- The data values in set A are **more** spread out than the data values in set B.