Question:
A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?
A dataset has the following values: 10, 12, 15, 15, 20, 22. What is the range and the median of the dataset?
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To find the range, subtract the smallest number from the largest number in the dataset. To find the median of an even number of terms, take the average of the two middle numbers.
Updated On: Oct 6, 2025
- Range: 10, Median: 15
- Range: 12, Median: 15
- Range: 12, Median: 16
- Range: 10, Median: 16
- Range: 10, Median: 15.5
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Solution and Explanation
Step 1: The range of a dataset is the difference between the largest and smallest values. In this case:
\[
\text{Range} = 22 - 10 = 12.
\]
Step 2: To find the median, arrange the data in ascending order: \( 10, 12, 15, 15, 20, 22 \). Since the number of data points is even (6), the median is the average of the middle two values:
\[
\text{Median} = \frac{15 + 16}{2} = 15.5.
\]
Thus, the range is 12 and the median is 15.5.
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