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Difficulty: EasyMeasures of Central Tendency

A sonar technician records the number of acoustic anomalies detected during 55 consecutive watch shifts. The counts are 7,2,8,27, 2, 8, 2, and 66. What is the median number of anomalies detected per shift?

  1. A
    2
  2. B
    5
  3. 6Answer
  4. D
    8

Answer

6
To find the median, the values must first be ordered from least to greatest: 2,2,6,7,82, 2, 6, 7, 8. Because there is an odd number of values (55), the median is the single middle number. The third number in this sorted list is 66.

Step-by-Step Solution

1
Order the given numbers from least to greatest.
2,2,6,7,82, 2, 6, 7, 8
The median must always be found from a sorted list of values.
2
Identify the middle value in the sorted list.
Since there are 55 values, the middle value is the 33 rd number, which is 66.
For an odd number of data points, the median is exactly the single middle number.

Key Concept

The median is the middle value of a data set when the numbers are arranged in numerical order.
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Topics

Measures of Central Tendency

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