Question

The dataset below represents the population density per square mile of land area in 25 states in the 2010 U.S. Census. What is the 17th percentile? 1,19,35,43,49,55,56,56,63,67,94,105,110,168,175,181,212,231,239,351,461,595,738,839,9857 Select the correct answer below: 4 4.42 43 46 49 212

Answer 1

its is actually 46 (D)

Explanation:

Since this is not an integer, round 4.42 up to 5 and down to 4. The 4th value in the ordered set is 43, and the 5th value in the set is 49. The average of 43 and 49 is 46.

So, the 17th percentile is 46.

Answer 2

(C)43

Explanation:

Given the data below:

1,19,35,43,49,55,56,56,63,67,94,105,110,168,175,

181,212,231,239,351,461,595, 738,839,9857

Step 1: Rank the values in the data set in order from smallest to largest.

This has already been done

Step 2: Multiply the desired percent by the total number of values in the data set to find the position of the desired percentile

• Desired percentile =17th
• Number of Values =25

Therefore: 17% X 25 = 0.17 X 25 =4.25

Round it to the nearest whole number

17th Percentile =4th Item

The 4th item in the data set is 43.

Therefore, the 17th percentile =43.

The correct option is C.