Question

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
Mean




Median




Range




Mode

Answer 1

Let's calculate the mean, median, mode, and range for the provided list of values: 1, 2, 4, 71, 2, 4, 71, 2, 4, 7.

1. **Mean**:
To find the mean, add all the values together and then divide by the number of values.
Sum = 1 + 2 + 4 + 71 + 2 + 4 + 71 + 2 + 4 + 7 = 168
Number of values = 10
Mean = Sum / Number of values = 168 / 10 = 16.8

2. **Median**:
To find the median, first, arrange the values in ascending order:
1, 2, 2, 2, 4, 4, 4, 7, 71, 71
Since there are 10 numbers (even), the median is the average of the 5th and 6th values.
5th value = 4, 6th value = 4
Median = (4 + 4) / 2 = 4

3. **Mode**:
The mode is the number that appears most frequently. In the list:
1 appears 1 time
2 appears 3 times
4 appears 3 times
7 appears 1 time
71 appears 2 times
Modes = 2 and 4 (both appear most frequently).

4. **Range**:
The range is the difference between the maximum and minimum values.
Maximum value = 71
Minimum value = 1
Range = Maximum - Minimum = 71 - 1 = 70

Now, summarizing the results:

- **Mean**: 16.8
- **Median**: 4
- **Mode**: 2 and 4 (bimodal)
- **Range**: 70