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?

Mean: 3 Median: 2 Mode: 1

Mean: 2 Median: 2 Mode: 8

Mean: 3 Median: 3 Mode: 1

Mean: 2 Median: 1 Mode: 8

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.

The mode is the middle number in the dataset when the numbers are rank ordered.

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

The mean is always the best measure of center for any dataset.

The mean is always less than the median.

The median is always the best measure of center for any dataset.

The mode is always the best measure of center for any dataset.

SOLUTION:

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

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
9.83
8
4
6.5

SOLUTION:

Measure	Value
9.83
8
4
6.5

Modes?

SOLUTION:

The mode is 15.
The mode is 10.