Mean, Median, Mode, Range, IQR & Mad

Changes in Data

100

Look at this set of 10 numbers:

89  46  23  89  97  20  93  42  91  93

How would the range change if the number 26 replaced the number 23 in the set?

Increase, Decrease or No change

No change

200

Look at this set of 5 numbers:

57  25  57  83  77

How would the mode change if the number 77 replaced one of the 57's in the set? 

Increase, Decrease or No Change

Increase

300

Look at this set of 6 numbers:

23  39  23  70  23  68

How would the mean change if the number 48 were added to the set?

Increase, Decrease or No Change

Increase

400

Look at this set of 9 numbers:

6  3  8  7  1  5  9  4  9

How would the median change if the number 1 replaced the number 7 in the set? 

Increase, Decrease or No Change

Decrease

500

Look at this set of 8 numbers:

98  53  49  28  69  98  68  73

How would the range change if the number 58 replaced the number 28 in the set? 

Increase, Decrease or No Change

Decrease

Finding IQR

100

Find the IQR. 35, 56, 34, 44, 52, 12, 34, 45

IQR = 14.5

200

Find the IQR. 24, 34, 32, 16, 45, 38, 28

IQR = 14

300

Define:IQR

The upper quartile (Q3) minus the lower quartile (Q1).

400

Find the IQR. 86, 24, 65, 65, 24, 24

IQR = 41

500

Find the IQR. 32, 23, 22, 33, 33, 23, 32, 23, 22

IQR = 10

Missing Data

100

Peter has the following data:

h   20  15  3

If the range is 17, which number could h be? 

1 or 20

20

200

Greg has the following data:

5  6  5  9  z  6

If the mean is 8, which number could z be? 

11 or 17

17

300

Sofia has the following data:

4  13  4  6  w

If the median is 6, which number could w be?

13 or 3 

13

400

Edwin has the following data:

19  18  20  a

If the mode is 19, which number could a be? 

19 or 20

19

500

Emma has the following data:

2  10  8  9  b

If the median is 8, which number could b be? 

13 or 7

7

Median, Mode, Range

100

Find the Median, Mode, & Range. 35, 56, 34, 44, 52, 12, 34, 45

Median = 39.5 Mode = 34 Range = 44

200

Find the Median, Mode, & Range. 24, 34, 32, 16, 45, 38, 28

Median = 32 Mode = No Range = 29

300

Find the Median, Mode, & Range. 86, 24, 65, 65, 24, 24

Median = 44.5 Mode = 24 Range = 62

400

Find the Median, Mode, & Range. 32, 23, 22, 33, 33, 23, 32, 23, 22

Median = 23 Mode = 23 Range = 11

500

Define: Median Mode & Range

Median : Middle Number Mode: Appears the most Range: The distance the data set covers

Which one would I use?

100

You want to find the average height of a basketball team. Which central tendency would you use?

Mean

200

To determine the difference between the smallest and biggest person on a basketball team. Which central tendency would you use?

Range

300

You have a range of answers from a particular survey. You are trying to figure out the middle of the data. Which central tendency would you use?

Median

400

You survey a group of people asking them what their favorite food is. Which central tendency would you use to determine the most popular food?

Mode

500

You are trying to figure out how close together a certain set of data is, Which central tendency would you use?

MAD