## Q. How do I find the mean, median, and mode of a data set?

## Answer

1.) __Finding the Mean__: The mean is the mathematical average of all data points

**Data Set – 2, 4, 1, 3, 2, 5**

*Step 1*- Sum up all 6 data points*Step 2*- Divide value by the total number of data points

*Mean (Step 1)* = 1 + 2 + 2 + 3 + 4 + 5 = 17

*Mean (Step 2)* = 17/6 = 2.833

2.) __Finding the Median__: The median is the middle score of all data points

**Data Set – 2, 4, 1, 3, 2, 5**

*Step 1*- Arrange data points from lowest to highest scores*Step 2*- Take the number of total number of data points and add 1*Step 3*- Divide the number from step 2 by 2*Step 4 –*The median is the number that falls in that place. As you may have noticed there is no possible number in the 3.5^{th}place, which is the case when you have an even number of data points. In this situation take the number in the 3^{rd}place and the number in the 4^{th}place and average them.

*Median (Step 1)* = 1, 2, 2, 3, 4, 5

*Median (Step 2)* = 6 + 1 = 7

*Median (Step 3)* = 7/2 = 3.5

*Median (Step 4) *= 2 + 3/2 = 5/2 = 2.5

3.) __Finding the Mode__: The mode is the most frequently occurring data point

**Data Set – 2, 4, 1, 3, 2, 5**

*Step 1*- Arrange data points from lowest to highest scores*Step 2*– Find the most commonly occurring score

*Mode (Step 1)* = 1, 2, 2, 3, 4, 5

*Mode (Step 2)* = 1, ** 2, 2,** 3, 4, 5 = 2

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