Question

The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.

Answer 1

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch =$\frac{9}{25} \times 100 = 36 \%$

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

$88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x$

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.