Find the median and mean of the data set below:16, comma, 27, comma, 24, comma, 13, comma, 15, comma, 2, comma, 5016,27,24,13,15,2,50
Question
Find the median and mean of the data set below:16, comma, 27, comma, 24, comma, 13, comma, 15, comma, 2, comma, 5016,27,24,13,15,2,50
Solution
Sure, let's find the median and mean of the given data set step by step.
Data Set:
16, 27, 24, 13, 15, 2, 50
Step 1: Arrange the Data in Ascending Order
First, we need to arrange the data in ascending order: 2, 13, 15, 16, 24, 27, 50
Step 2: Find the Median
The median is the middle value of a data set when it is ordered. Since there are 7 numbers in the data set, the median will be the 4th number (as it is the middle one).
Ordered Data Set: 2, 13, 15, 16, 24, 27, 50
The 4th number is 16.
Median = 16
Step 3: Calculate the Mean
The mean is the average of the data set. To find the mean, we sum all the numbers and then divide by the number of values in the data set.
Sum of the data set: 2 + 13 + 15 + 16 + 24 + 27 + 50 = 147
Number of values in the data set: 7
Mean = Sum of the data set / Number of values Mean = 147 / 7 Mean = 21
Mean = 21
Summary
- Median = 16
- Mean = 21
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