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.
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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 -
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 -
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). -
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
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