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Find the median and mean of the data set below:32, comma, 36, comma, 29, comma, 28, comma, 19, comma, 3032,36,29,28,19,30

Question

Find the median and mean of the data set below:32, comma, 36, comma, 29, comma, 28, comma, 19, comma, 3032,36,29,28,19,30

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Solution

Sure, let's find the median and mean of the data set step by step.

Data Set:

32, 36, 29, 28, 19, 30

Step 1: Arrange the Data in Ascending Order

First, we need to arrange the data in ascending order: 19, 28, 29, 30, 32, 36

Step 2: Find the Median

The median is the middle value of a data set when it is ordered. If the number of observations is odd, the median is the middle number. If the number of observations is even, the median is the average of the two middle numbers.

In this case, we have 6 numbers (an even number of observations), so the median will be the average of the 3rd and 4th numbers in the ordered list.

The 3rd number is 29 and the 4th number is 30.

Median = (29 + 30) / 2 = 59 / 2 = 29.5

Step 3: Find the Mean

The mean (or average) is found by adding all the numbers together and then dividing by the number of observations.

Sum of the numbers = 19 + 28 + 29 + 30 + 32 + 36 = 174

Number of observations = 6

Mean = Sum of the numbers / Number of observations = 174 / 6 = 29

Summary

  • Median: 29.5
  • Mean: 29

This problem has been solved

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