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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.
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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. 1 6 6) 96 # of addends sum 6 3 6 3 6 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. 46 21+ 25 = 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, 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, 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, 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, 88, 89, 90, 91, 95 88 Find the median of this segment Find the median of this segment. 82 90 76,78, 82 88, 89,90 3rd quartile 1st quartile
End of 1st quartile Median Minimum End of 3rd quartile Maximum 76, 78, 82, 87, 88, 88, 89, 90, 91, 95 75 100 80 85 70 105 90 95 65 Now for the box and whisker
Find the median 142, 143, 144, 152, 157, 164, 168, 168, 172, 172 175. 164 Find the median of this segment Find the median of this segment. 144 172 142, 143, 144 168, 168, 172 3rd quartile 1st quartile