Question

What is the mean of this data set?

A line plot titled Height of Lilies. The bottom of the line plot is labeled height in inches. There is a number line showing whole numbers from 18 to 24. The line plot has one mark above the 18. There is one mark above 19. There are two marks above 20. There are two marks above 21. There are three marks above 22. There are zero marks above 23. There is one mark above 24.

20
20.9
21
22.6

Answer 1

Answer: To find the mean of this data set, we need to add up all the heights of lilies and divide by the total number of lilies. We can estimate the heights from the line plot:

There is 1 lily at a height of 18 inches.

There is 1 lily at a height of 19 inches.

There are 2 lilies at a height of 20 inches.

There are 2 lilies at a height of 21 inches.

There are 3 lilies at a height of 22 inches.

There are 0 lilies at a height of 23 inches.

There is 1 lily at a height of 24 inches.

To calculate the mean, we need to multiply each height by the number of lilies at that height, then add up these products, and divide by the total number of lilies:

(1 x 18) + (1 x 19) + (2 x 20) + (2 x 21) + (3 x 22) + (0 x 23) + (1 x 24)

markdown

Copy code

10

= (18 + 19 + 40 + 42 + 66 + 0 + 24) / 10

= 209 / 10

= 20.9

Therefore, the mean height of lilies in this data set is 20.9 inches. The answer is (B) 20.9.

Explanation: