Integrated 1
6.02 Mean, Median, Mode
1.
Name: _____________________________________ Per: ______
Find the mean ( ) of each pair of numbers. Graph the numbers and the mean on a number line.
a.
5 and 15
b.
-5 and 15
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=
2.
c.
-5 and -15
d.
137 and 441
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=
Each of 50 people bowls one game in a charity event. The table shows the results of the game.
Base on the table, identify each statement below as true or false. If the statement is false, explain why.
3.
a.
6% of the bowlers score more than 200.
b.
52% of the bowlers score no more than 100.
c.
The median score is between 51 and 100.
d.
The median score is between 101 and 150.
Use the data set {100, -25, 3, 7, 23, 17, 15}.
a.
Find the mean and median for the data set above.
b.
Add 6 to each data value in the original data set. Find the mean and median for the new data set.
c.
Double each data value in the original data set. Find the mean and median for the new data set.
d.
How do the changes in the data set relate to the changes in the mean and median.
4.
Describe how you can obtain each data set below from the data set {52, 51, 47, 49, 41}. Then describe
how the mean and median change for the new set.
a.
5.
{104, 102, 94, 98, 82}
b.
{50, 49, 45, 47, 39}
There are 9 people at a birthday party. The median age was 3 years old and the mean age was 19 years.
What could account for such a wide difference between these two measures? Explain.
6.
What statistical measure (mean, median, mode, range) does a store manager use to determine the bestselling item in the store? Explain.
7.
a.
Find the mean, median, and mode baseball salaries.
b.
Which measure, the mean or the median, supports more
convincingly the case for raising salaries? Explain.
c.
What makes the mean and median so different for this data set?