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Write Date : 21-07-22 21:54
Mean, median, mode, and range
 Writer : DrKangUSC
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Mean, median, mode, and range
Mean, median, mode, and range are measures that describe a data set.
Mean, median, and mode are measures of central tendency. In other words, they tell you about the center, or middle, of the data set.
The range of a data set is a measure of variability, or how spread out the data values are.

Mean

The mean of a data set is the average. You can find the mean by adding the numbers in the data set and then dividing by the number of values in the set.
Let's try it! Find the mean of the data set below.
The data set shows the shoe sizes of ten sixth-grade students.
A data set containing the values 4, 5, 5, 6, 7, 5, 6, 8, 7, and 5.
First, add the numbers in the data set.
4
+
5
+
5
+
6
+
7
+
5
+
6
+
8
+
7
+
5
=
58
Then, divide that sum by the number of values in the set. There are ten values.

So, the mean shoe size is ??????

Median

The median of a data set is the middle number of the ordered values. You can find the median by ordering the values and finding the middle number.
Let's try it! Find the median of the shoe size data.
A data set containing the values 4, 5, 5, 6, 7, 5, 6, 8, 7, and 5.
First, order the values from least to greatest.
The values in the dataset have been ordered from least to greatest. The list of values is 4, 5, 5, 5, 5, 6, 6, 7, 7, 8.
Now, find the middle number.
The data set is shown in order from least to greatest. The first four numbers and last four numbers are crossed out  The middle numbers, 5 and 6, are circled.
There are two middle numbers, so you need to find their average. Add the two middle numbers together and divide the sum by two.

So, the median shoe size is ??????

Mode

The mode is the number that occurs most often in a data set.
Let's try it! Find the mode of the shoe size data.
A data set containing the values 4, 5, 5, 6, 7, 5, 6, 8, 7, and 5.
First, order the numbers from least to greatest.
The values in the dataset have been ordered from least to greatest. The list of values is 4, 5, 5, 5, 5, 6, 6, 7, 7, 8.
Then, find the number that occurs the most.
There is one 4, four 5s, two 6s, two 7s, and one 8.
Since there are four 5s, 5 occurs the most often.
So, the mode of the shoe sizes is ???????

Range

The range of a data set measures variability, or how spread out the data values are.
The range is the difference between the greatest value and the least value.
Let's try it! Find the range of the shoe size data.
A data set containing the values 4, 5, 5, 6, 7, 5, 6, 8, 7, and 5.
The greatest value in the data set is 8. The least value is 4. So, subtract 4 from 8.

So, the range of the shoe sizes is ?????????????
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