take out the homework from last night then do, warm up #1

Take out the homework from last night then do, Warm up #1

Mean, Median, Mean, Median, Mode, RangeMode, Rangeand Outlierand Outlier

Learning TargetsFor a given set of data: LT # 3: I can find the mean.LT #4: I can find the median.LT #5: I can find mode.LT #6: I can find the range.LT #7: I can find the outlier and determine

its effect on the mean.LT #8: I can find the minimum and

maximum of a data set.

For Learning to Happen!

Take out a calculator.Be sure you have a whiteboard and pen

Calcs okay for math practice/homework, but NOT on the test.

Vocabulary Review

Sum – the answer to an addition problem.

Addend – the numbers you add together to get the sum.

6 + 9 = 15

Definition

MeanMean

MeansMeans

AverageAverage

Mean is found by evening out the numbers

2, 5, 2, 1, 5

Mean is found by evening out the numbers

2, 5, 2, 1, 5

Mean is found by evening out the numbers

2, 5, 2, 1, 5mean = 3

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

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?

How to Find the Mean of a Group of Numbers

Step 2 – Divide the sum by the number of addends.

6)96 sum# of addends16

Is 16 a reasonable average for this set of numbers?

8, 10, 12, 18, 22, 26

What is the mean of these numbers?

26, 33, 41, 52

38

Definition

MeMeddianian

is in theis in the

MiMiddddlele

Definition

MedianMedian – the middle number in a set of ordered numbers.

1, 3, 7, 10, 13Median Median = 7= 7

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

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

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

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

2) 46 23 median

What is the median of these numbers?

29, 8, 4, 11, 19

114, 8, 11, 19, 29

What is the median of these numbers?

31, 7, 2, 12, 15, 19

13.52, 7, 12, 15, 19, 31

12 + 15 = 27 2) 27.0-26 10

Definition

MoModede

is the is the MoMost Popularst Popular

Definition ModeMode – the number that

appears most frequently in a set of numbers.

1, 1, 3, 7, 10, 13Mode Mode = 1= 1

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

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

Which number is the mode?

29, 8, 4, 8, 19

84, 8, 8, 19, 29

Which number is the mode?

1, 2, 2, 2, 9, 9, 4, 9, 10

2 and 9

1, 2, 2, 2, 4, 9, 9, 9, 10

DefinitionRangeRange

is theis the differencedifferencebetween the largest and between the largest and

the smallest number.the smallest number.

Remember Remember DIFFERENCEDIFFERENCE mean mean subtractsubtract!!

Definition RangeRange – the difference

between the greatest and the least value in a set of numbers.

1, 1, 3, 7, 10, 13RangeRange = 12= 12

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

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

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 = 9The range is 9

What is the range?

29, 8, 4, 8, 19

29 – 4 = 25

4, 8, 8, 19, 29

OUTLIEROUTLIERAn outlier is a number that is much higher or much lower than the other numbers

3, 6, 4, 58, 1, 7, 3.

Look at these numbers.

What is the outlier?58

THE END

Take Out Your Learning Targets

Measures of Central Tendency Mean - the average. Add the values

and divide by the number of the numbers.Median - the middle number. All the numbers must be in order.

Mode - the most common number. The number you see the most. Range - the largest number minus the smallest number.

LT # 3 - 6

OUTLIEROUTLIERAn outlier is a number that is much higher or much lower than the other numbers.

36

707 =10 346 =

5.6

The outlier increased the mean

3, 9, 4, 36, 8, 7, 31) What is the outlier?

2) Find the mean of all the numbers

3) Find the mean without the outlier.

4) How did the outlier affect the mean?

LT # 7

Minimum & Maximum• The minimum of a data set is the lowest value.

• The maximum of a data set is the highest value.

Find the minimum and maximum of the following data set:

5, 6, 7, 7, 7, 8, 9, 11, 14, 16, 19, 22

Minimum Maximum

10 12 13 14 15x xx x xx

xxx

x

Mean =13310

Median=

Mode = 14

sum#

= 13.3

14 + 142

14

Range= Maximum – Minimum = 15 - 10 = 5

LT #3 – 6

Sum = 10 + 12 + 12+ 13 + 14 + 14 + 14 + 14 + 15 + 15 = 133

10, 12, 12, 13, 14, 14, 14, 14, 15, 15

10, 12, 12, 13, 14, 14, 14, 14, 15, 15