High School

The raw data below show the heights (cm) of a sample of people:

149, 150, 151, 152, 151, 152, 150, 151, 156, 152, 156, 152, 151, 152, 151, 152, 151, 152, 152, 151, 152, 151, 152, 151

a. Determine the median height.

Answer :

Final answer:

To find the median height, arrange the data in ascending order and find the middle value. With an even number of data points, the median is the average of the two middle numbers. In this case, the median height is 151 cm.

Explanation:

The student's question is asking for the median height in a set of data representing the heights of people. To determine the median, we must first arrange the data in ascending order. Once ordered, the median is the middle number if there is an odd number of data points or the average of the two middle numbers if there is an even number of data points.

  1. Arrange the data: 149, 150, 150, 150, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 151, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 152, 156, 156.
  2. Find the middle: With 30 data points, the median will be the average of the 15th and 16th values.
  3. Calculate the median: The 15th and 16th values are both 151, so the median is 151 cm.

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