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 None 3 6
Mean
Median
Range
Mode

2 answers

To find the mean, median, mode, and range of the given list of values: 1, 2, 4, 71, 2, 4, 71, 2, 4, 7, we can follow these steps:

1. Mean: To calculate the mean, we sum all the values and 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, we first arrange the values in ascending order:

1, 2, 2, 2, 4, 4, 4, 7, 71, 71

Since there are 10 values (an even number), 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.

  • In the list 1, 2, 4, 71, 2, 4, 71, 2, 4, 7:
    • 1 appears 1 time
    • 2 appears 3 times
    • 4 appears 3 times
    • 71 appears 2 times
    • 7 appears 1 time

Thus, both 2 and 4 are modes (multimodal).

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

Summary of Results:

  • Mean: 16.8
  • Median: 4
  • Mode: 2 and 4 (multimodal)
  • Range: 70
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