Mean, Median, Box & Whisker Plots



Statistics Day 1: Mean, Median, Box & Whisker Plots

Definitions:

Mean:

Median:

Mode:

Range (statistical):

Data Set 1:

In a park that has several basketball courts, a student counts the number of players playing basketball each day over a two week period and records the following data.

10, 90, 30, 20, 50, 30, 60, 40, 70, 40, 30, 60, 80, 20

Data Set 2:

In another park that has several basketball courts, another student counts the number of players playing basketball each day over a two week period and records the following data.

50, 40, 30, 30, 40, 50, 50, 30, 40, 50, 60, 60, 50, 50

How are the two data sets similar and how are they different?

Mean ([pic]) data set #1 = Mean ([pic]) data set #2 =

Median data set #1 = Median data set #2 =

Mode data set #1 = Mode data set #2 =

Range data set #1 = Range data set #1 =

Make a Frequency chart with the data.

Frequency

| |Data Set #1 |Data Set #2 |

|10 | | |

|20 | | |

|30 | | |

|40 | | |

|50 | | |

|60 | | |

|70 | | |

|80 | | |

|90 | | |

#

O

F

P

L

A

Y

E

R

S

Now take this information and make a line plot (histogram).

____________________________________________________

0 10 20 30 40 50 60 70 80 90 100

Data Set #1

____________________________________________________

0 10 20 30 40 50 60 70 80 90 100

Data Set #2

How to Make a Box and Whisker Plot:

1. Put all numbers in numerical order.

2. Find the Median of all the numbers. (Median)

3. Find the Median of the lower set of numbers. (Lower Quartile or Quartile 1)

4. Find the Median of the upper set of numbers. (Upper Quartile or Quartile 3)

5. Find the Smallest number. (Lower Extreme)

6. Find the Largest number. (Upper Extreme)

7. Plot all of the above points on the number line. Draw a box around the Lower and Upper Quartiles and Whiskers out to the Extremes.

Make Box and Whisker Plots for each set of the basketball data.

Data Set #1

Median: ___________ Inter-Quartile Range: __________

Lower Quartile: _________ 3rd Quartile Value: ___________

Upper Quartile: _________ 1st Quartile Value: ___________

Lower Extreme: _________ Range: _________

Upper Extreme: _________

____________________________________________________

0 10 20 30 40 50 60 70 80 90 100

Data Set #1

Data Set #2

Median: ___________ Inter-Quartile Range: __________

Lower Quartile: _________ 3rd Quartile Value: ___________

Upper Quartile: _________ 1st Quartile Value: ___________

Lower Extreme: _________ Range: _________

Upper Extreme: _________

____________________________________________________

0 10 20 30 40 50 60 70 80 90 100

Data Set #2

Practice.

1. Find the mean, median, mode and range for this data.

12, 15, 19, 17, 18, 17, 20, 14 mean______ median______ mode_____ range______

2. Make a box and whiskers plot from this data.

20, 12, 8, 24, 15, 17, 11

3. Make a box and whiskers plot from this data.

15, 20, 9, 32, 27, 19, 16, 28, 31, 7, 11, 19

4. What is the median? _______

What is the smallest number? _____

What is the Range? _______

What is the 3rd Quartile Value? ____

What is the inter-quartile range? ____

5. If the mean of a set of 12 number is 13, then the sum of the numbers is: _______

6. 7.

Statistics Day 1 Homwork: Show your Work for Full Credit!!!

1. 4.

2.

5.

3.

6.

7. 12. 9.

8. 10.

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25

21

17

12

15

9

The times in minutes for each of Curt’s phone calls this week are shown in this list.

9, 15, 5, 7, 9, 12, 11, 4

Which statement is true regarding the duration of his calls?

F The mode is greater than 7.

G The mean is less than 8.

H The range is less than 10.

J The median is greater than 10.

In which data set is the median value equal to the mean value?

A {2, 4, 6, 7, 8}

B {12, 18, 20, 23, 24}

C {16, 17, 18, 19, 20}

D {50, 60, 65, 75, 85}

{5, 6, 6, 8, 9, 10}

For the data set shown, which measure is the greatest?

A Mean

B Median

C Mode

D Range

The value that has half of the observations above it and half the observations below it is called the

a. range

b. median

c. mean

d. mode

Joe’s New Car dealership lists the following prices for this year’s models.

$10,469, $12,895, $15,499, $17,999, $18,595, $21,245, $10,395, $14,985

What is the range in prices?

A $15,260

B $15,242

C $10,850

D $10,776

47

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