16. Measures of Center (Mode)

Measures of center

We want to summarize the number of dogs our friends have into a single number. We will use the measures of center for this problem. Ashley has 1 dog, Steve has 1 dog, Jeff has 2 dogs, Kylie has 3 dogs, and Lisa has 8 dogs.

There is no best measure of center so we need to try all three to see what makes sense.

What is the mean, median, and mode for the number of dogs our friends have?

SOLUTION: Mean: 3 Median: 2 Mode: 1

When? Where? Why?

Check all of the below that are true with regards to our measures of center.

SOLUTION:
  • The median is the middle number in the dataset when the numbers are rank ordered.

Mode

If we have the data:

5, 8, 15, 7, 10, 22, 3, 1, 15

What is the mode?

SOLUTION: 15

Mean, Median, Mode

QUIZ QUESTION::

For the dataset below match the correct measure to the value:

8, 12, 32, 10, 3, 4, 4, 4, 4, 5, 12, 20

ANSWER CHOICES:



Measure

Value

4

8

6.5

9.83

SOLUTION:

Measure

Value

4

8

6.5

9.83

Modes?

If we have the data:

5, 8, 15, 7, 10, 22, 3, 1, 15, 10

Mark all statements that are true.

SOLUTION:
  • The mode is 15.
  • The mode is 10.