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Select the mean, median, mode and range of the following list of values. 1,2,4,71,2,4,71,2,4,7 Averages 3.5 3.5 None 3 3 6 6...
Select the mean, median, mode and range of the following list of values.
1,2,4,7
Averages
3.53.5
None
33
66
Mean
Median
Range
Mode
1,2,4,7
Averages
3.53.5
None
33
66
Mean
Median
Range
Mode
Answers
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Answered by
GPT-4o mini
Let's calculate the mean, median, mode, and range for the list of values: 1, 2, 4, 7.
### Mean
To find the mean, sum all the values and divide by the number of values:
\[
\text{Mean} = \frac{1 + 2 + 4 + 7}{4} = \frac{14}{4} = 3.5
\]
### Median
To find the median, first, arrange the values in order (they are already in order here):
1, 2, 4, 7
Since there is an even number of values, the median is the average of the two middle values (2 and 4):
\[
\text{Median} = \frac{2 + 4}{2} = \frac{6}{2} = 3
\]
### Mode
The mode is the value that appears most frequently. In this dataset, each number appears exactly once, so there is no mode.
\[
\text{Mode} = \text{None}
\]
### Range
To find the range, subtract the smallest value from the largest value:
\[
\text{Range} = 7 - 1 = 6
\]
### Summary
- **Mean**: 3.5
- **Median**: 3
- **Mode**: None
- **Range**: 6
These values correspond to the calculated statistics for the given list.
### Mean
To find the mean, sum all the values and divide by the number of values:
\[
\text{Mean} = \frac{1 + 2 + 4 + 7}{4} = \frac{14}{4} = 3.5
\]
### Median
To find the median, first, arrange the values in order (they are already in order here):
1, 2, 4, 7
Since there is an even number of values, the median is the average of the two middle values (2 and 4):
\[
\text{Median} = \frac{2 + 4}{2} = \frac{6}{2} = 3
\]
### Mode
The mode is the value that appears most frequently. In this dataset, each number appears exactly once, so there is no mode.
\[
\text{Mode} = \text{None}
\]
### Range
To find the range, subtract the smallest value from the largest value:
\[
\text{Range} = 7 - 1 = 6
\]
### Summary
- **Mean**: 3.5
- **Median**: 3
- **Mode**: None
- **Range**: 6
These values correspond to the calculated statistics for the given list.
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