The Cougars basketball team has 11 players. Their heights, rounded to the nearest centimeter, are:
$$158, 161, 164, 164, 168, 169, 170, 171, 172, 174, 177$$
Calculate the:
mode
mean
median
A new player joins the team. He is 216 centimeters.
$$158, 161, 164, 164, 168, 169, 170, 171, 172, 174, 177,\color{red}{216}$$
Calculate the new:
mode
mean
median
A value which is much less or much greater than the other values in a set is called an
$\color{red}{216}$ could be considered an outlier.
Which measure of the center was most affected by this outlier?
mode
mean
median
How many players are shorter than the new mean?
To summarize,
Mean
Median
calculated using
values
can be
affected by outliers
calculated using
values
is
affected by outliers
In this example, which measure of the center is a better indicator of the heights of the players on the team?
mean
median
The Dragons basketball team has 12 players. The mean height of their players is 171 centimeters.
Check all of the statements that must be true.
Half of the players on the Dragons are taller than 171 centimeters
There is at least one player on the Dragons that is taller than 171 centimeters
There is at least one player on the Dragons that is shorter than 171 centimeters
There is at least one player on the Dragons that is exactly 171 centimeters tall
If there is one player on the Dragons that is taller than 171 centimeters then there must be one player shorter than 171 centimeters
Compare the 12 players on the Cougars and Dragons.
Check all of the statements that must be true.
The tallest player on the Cougars is taller than the tallest player on the Dragons
The shortest player on the Cougars is taller than the shortest player on the Dragons
The median height of the Cougars' players is greater than the median height of the Dragons' players
The sum of the heights of the Cougars' players is greater than the sum of the heights of the Dragons' players
When is the mode useful?
A pet shop is selling gift baskets for cat owners and wants to know how many of each item (toys, treats, blankets) they should include.
They conducted a survey of their customers and asked how many cats they own. The results were:
$$1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 6, 8, 9, 11, 13$$
Calculate the:
mode
mean
median
To satisfy the most customers, which measure of center should the pet store use to determine the number of items?
mode
mean
median