Definitions:
Statistics Day 1: Mean, Median, Box & Whisker Plots
47
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 (  ) data set #1 =
Mean (  ) 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
#
O
F
P
L
A
Y
E
R
S
Data
Set #2
10
20
30
40
50
60
70
80
90
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.
2.
3.
4.
5.
6.
7.
Put all numbers in numerical order.
Find the Median of all the numbers. (Median)
Find the Median of the lower set of numbers. (Lower Quartile or Quartile 1)
Find the Median of the upper set of numbers. (Upper Quartile or Quartile 3)
Find the Smallest number. (Lower Extreme)
Find the Largest number. (Upper Extreme)
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: ___________
Lower Quartile: _________
Upper Quartile: _________
Lower Extreme: _________
Upper Extreme: _________
Inter-Quartile Range: __________
3rd Quartile Value: ___________
1st Quartile Value: ___________
Range: _________
____________________________________________________
0 10
20
30
40 50 60 70 80 90 100
Data Set #1
Data Set #2
Median: ___________
Lower Quartile: _________
Upper Quartile: _________
Lower Extreme: _________
Upper Extreme: _________
Inter-Quartile Range: __________
3rd Quartile Value: ___________
1st Quartile Value: ___________
Range: _________
____________________________________________________
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.
9
15
17
12
21
25
What is
What is
What is
What is
What is
the
the
the
the
the
median? _______
smallest number? _____
Range? _______
3rd Quartile Value? ____
inter-quartile range? ____
5. If the mean of a set of 12 number is 13, then the sum of the numbers is: _______
6.
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.
7.
Statistics Day 1 Homwork: Show your Work for Full Credit!!!
1.
In which data set is the median value
equal to the mean value?
48
4.
A {2, 4, 6, 7, 8}
B {12, 18, 20, 23, 24}
C {16, 17, 18, 19, 20}
D {50, 60, 65, 75, 85}
2.
{5, 6, 6, 8, 9, 10}
For the data set shown, which measure
is the greatest?
A Mean
B Median
C Mode
D Range
5.
3.
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
6.
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
7.
8.
12.
9.
10.