Mean, Median, Mode

Definition: Statistical measure of the average of a data set. The median is the center value when the data is arranged in ascending order. The mode is that which occurs most frequently. The mean is the quotient of the sum of the data points and the number of data points.

Example: Find the mean, mode and median of the following heights (in centimeters) of students: 130, 95, 160, 130, 135, 100, 95, 165, 146, 95.

Solution:

Mean:

Step 1: Sum the data. ⇒ 130 + 95 +160 +130 + 135 + 100 + 95 + 165 + 146 + 95 = 1251

Step 2: Divide the sum by the number of data points ⇒ 1251/10 = 125.1

Median:

Step 1: Arrange the data in ascending order. ⇒ 95, 95, 95, 100, 130, 130, 135, 146, 160, 165.

Step 2: Identify the middle value, if there are 2 find the mean of the two. They are 130 and 130. (130+130)/2 = 130 so the median is 130.

Mode:

Step 1: Identify the value that occurs most frequently. It is 95.

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