Question

The dot plot showed the number of flowers on a rosebush: 18, 18, 18, 18, 20, 20, 22, 23 The number 19 is used to summarize the data. What does this number measure?

Answer 1

19 measures the median

Explanation:

The dot plot is not shown, but the question can still be answered.

We have:

`Samples: 18, 18, 18, 18, 20, 20, 22, 23`

`n = 8`

Calculate the median position using:

`Median = (n + 1)/(2)th`

`Median = (8 + 1)/(2)th`

`Median = (9)/(2)th`

`Median = 4.5th`

4.5th means the median is the mean of the 4th and 5th item.

We have:

`4th = 18`

`5th = 20`

So:

`Median = (18 + 20)/(2)`

`Median = (38)/(2)`

`Median = 19`