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

Answer:

19 measures the median

Step-by-step 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:

$Median = \frac{n + 1}{2}th$

$Median = \frac{8 + 1}{2}th$

$Median = \frac{9}{2}th$

$Median = 4.5th$

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

We have:

$4th = 18$

$5th = 20$

So:

$Median = \frac{18 + 20}{2}$

$Median = \frac{38}{2}$

$Median = 19$