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 answer

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.

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