Measures of Central

Tendency

A measure of central tendency is a univariate statistic that indicates, in one

manner or another,

• the average or typical observed value of a variable in a data set, or

• put otherwise, the center of the frequency distribution of the data.

Measures of Central Tendency

Mean

Mean is the average of a set of data. To calculate the mean, find the sum of

the data and then divide by the number of data.

What is the MEAN?How do we find it?

•The mean is the numerical average of the data set.

•The mean is found by adding all the values in the set, then dividing the sum by the number of values.

Lets find Abby’s MEAN science test

score?

9784

73

88100

63

97

95

86+

783

783 ÷ 9

The mean is 87

Add all the values.

Divide the sum by the number of values.

Median

Median is the middle number in a set of data

when the data is arranged in numerical

order.

How to find the MEDIAN when two numbers are in

the middle?

1. Add the two numbers.

2. Then divide by 2.

978473 88 10063 979586

The median is 88.

Half the numbers are

less than the median. Half the numbers are

greater than the median.

Arrange values from least to greatest.

Find the number that is in the middle.

Mode

The mode is the number that occurs the

most.

A Hint for remembering the MODE…

The first two letters give you a hint… MOde

Most Often

What is the MODE?How do we find it?

The MODE is the piece of data that occurs most frequently in the data set.

A set of data can have: One mode More than one mode No mode

978473 88 10063 979586

The value 97 appears twice.All other numbers appear just once.

97 is the MODE

Arrange the values from least to greatest.

Find the number that appears most or more frequently.

Mean The average

MedianThe number or average of the numbers in the middle

Mode The number that occurs most

What is the RANGE?How do we find it?

The RANGE is the difference between

the lowest and highest values.

978473 8863 979586

97-6334

34 is the RANGE or spread

of this set of data

Arranging values from least to greatestmakes it easier to find the RANGE.

Subtract the lowest value from the highest.

Project in Basic Statistics

Submitted by: Kenneth M. Osabal

II-Euclid