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Find the median for the following set of data: \( 53,47,43,36,31,42,44,45,46 \)

Ask by Spencer Smith. in the United States
Feb 25,2025

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Answer

The median is 44.

Solution

To find the median, first arrange the numbers in increasing order: 31, 36, 42, 43, 44, 45, 46, 47, 53 Since there are 9 numbers (an odd number), the median is the middle value, which is the 5th number in the list. Counting over, the 5th number is 44. Thus, the median of the dataset is 44.

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Bonus Knowledge

To find the median, start by arranging the data set in ascending order: \( 31, 36, 42, 43, 44, 45, 46, 47, 53 \). Since there are 9 numbers (an odd quantity), the median is the middle number. Counting through the sorted list, the fifth number is \( 44 \). Therefore, the median of this data set is \( 44 \). Keep practicing with different data sets! Remember, the key to finding the median is first sorting the numbers and then identifying that central value. If you ever have an even number of data points, just take the average of the two middle values!

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