Question

Difficulty: EasyMeasures of Central Tendency

A radar operator tracks the number of aircraft detected in their sector during 55 consecutive hours. The hourly counts are 2424, 1818, 3535, 2121, and 1212. What is the median number of aircraft detected per hour?

  1. 2121Answer
  2. B
    2222
  3. C
    3535
  4. D
    2323

Answer

The median number of aircraft detected per hour is 2121.
The median is found by arranging the values in ascending order (1212, 1818, 2121, 2424, 3535) and identifying the middle value. The middle number is 2121.

Step-by-Step Solution

1
Order the hourly aircraft counts from least to greatest.
1212, 1818, 2121, 2424, 3535
The median is the middle value of an ordered dataset.
2
Identify the middle number in the sorted sequence.
The third number is 2121.
Since there are 55 data points (an odd number), the median is exactly in the middle.

Key Concept

The median is the middle value of a sorted dataset. If a dataset has an odd number of values, the median is the single middle number.
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