Question

watch the video and then solve the problem given below
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find the median for the set of data.
58, 67, 72, 73, 75, 79, 81, 83, 84, 86, 89, 92, 93, 94
the median is
(type an integer or a decimal.)

Explanation:

Step1: Count the number of data points

The data set is: 58, 67, 72, 73, 75, 79, 81, 83, 84, 86, 89, 92, 93, 94. Let's count the number of elements. There are 14 data points.

Step2: Determine the position of the median

For a set with \( n \) data points, if \( n \) is even, the median is the average of the \( \frac{n}{2} \)-th and \( (\frac{n}{2}+1) \)-th values when the data is ordered. Here, \( n = 14 \), so \( \frac{n}{2}=7 \) and \( \frac{n}{2}+1 = 8 \).

Step3: Find the 7th and 8th values

Order the data (it's already ordered). The 7th value is 81 and the 8th value is 83.

Step4: Calculate the median

The median is the average of 81 and 83. So, \( \frac{81 + 83}{2}=\frac{164}{2}=82 \).

Answer:

82