Mean Median Mode Range Outlier An outlier is

Mean, Median, Mode & Range

Outlier • An outlier is a data item that is much higher or much lower than items in a data set. • 1, 2, 5, 27, 3, 4

Definition • Mean – the average of a group of numbers. 2, 5, 2, 1, 5 Mean = 3 BACK

Mean is found by evening out the numbers 2, 5, 2, 1, 5 BACK

Mean is found by evening out the numbers 2, 5, 2, 1, 5 BACK

Mean is found by evening out the numbers 2, 5, 2, 1, 5 mean = 3 BACK

How to Find the Mean of a Group of Numbers • Step 1 – Add all the numbers. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 BACK

How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. 8, 10, 12, 18, 22, 26 8+10+12+18+22+26 = 96 How many addends are there? BACK

How to Find the Mean of a Group of Numbers • Step 2 – Divide the sum by the number of addends. # of addends 16 6) 96 6 36 36 sum BACK

Definition • Median – the middle number in a set of ordered numbers. 1, 3, 7, 10, 13 Median = 7 BACK

How to Find the Median in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

How to Find the Median in a Group of Numbers • Step 2 – Find the middle number. 18, 19, 21, 24, 27 This is your median number. BACK

How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 18, 19, 21, 25, 27, 28 BACK

How to Find the Median in a Group of Numbers • Step 3 – If there are two middle numbers, find the mean of these two numbers. 21+ 25 = 46 median 23 2) 46 BACK

What is the median of these numbers? 16, 10, 7 7, 10, 16 10 BACK

Definition • Mode – the number that appears most often in a set of numbers. 1, 1, 3, 7, 10, 13 Mode = 1 BACK

How to Find the Mode in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 18 18, 19, 21, 24 BACK

How to Find the Mode in a Group of Numbers • Step 2 – Find the number that is repeated the most. 21, 18, 24, 19, 18 18, 19, 21, 24 BACK

Definition • Range – the difference between the greatest and the least value in a set of numbers. 1, 1, 3, 7, 10, 13 Range = 12 BACK

How to Find the Range in a Group of Numbers • Step 1 – Arrange the numbers in order from least to greatest. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

How to Find the Range in a Group of Numbers • Step 2 – Find the lowest and highest numbers. 21, 18, 24, 19, 27 18, 19, 21, 24, 27 BACK

How to Find the Range in a Group of Numbers • Step 3 – Find the difference between these 2 numbers. 18, 19, 21, 24, 27 27 – 18 = 9 The range is 9 BACK

What is the range? 29, 8, 4, 8, 19 4, 8, 8, 19, 29 29 – 4 = 25 BACK

What is the range? 22, 21, 27, 31, 21, 32 21, 22, 27, 31, 32 32 – 21 = 11 BACK

What is the range? 31, 8, 3, 11, 19 3, 8, 11, 19, 31 31 – 3 = 28 BACK

What is the range? 23, 7, 9, 41, 19 7, 9, 23, 19, 41 41 – 7 = 34 BACK

17, 18, 19, 21, 24, 26, 27 The lower quartile (LQ) is the median of the lower half of the data. The LQ is 18. The upper quartile (UQ) is the median of the upper half of the data. The UQ is 26. The interquartile range is UQ-LQ BACK

Even amounts divide in 2 equal halves. 13, 15, 18, 19, 22, 25 L. Q. U. Q. BACK

Key Skills TRY THIS Use data to construct a histogram. Jose bowled 11 games: 172, 152, 168, 157, 143, 175, 144, 164, 142, 172, 168. Histogram:

Find the median 76, 78, 82, 87, 88, 89, 90, 91, 95 88 Find the median of this segment 82 76, 78, 82 1 st quartile Find the median of this segment. 90 88, 89, 90 3 rd quartile

Minimum 76, 65 End of 1 st quartile 78, 82, 70 75 Median 87, 80 88, 85 End of 3 rd quartile Maximum 89, 90 95 100 105 Now for the box and whisker 91, 95

Find the median 142, 143, 144, 152, 157, 164, 168, 172 175. 164 Find the median of this segment. 144 172 142, 143, 144 1 st quartile 168, 172 3 rd quartile

Mean, Median, Mode & Range BACK