What percentage of the general U.S. population are high-school dropouts? The Sta

Question

What percentage of the general U.S. population are high-school dropouts? The Statistical Abstract of the United States, 120th Edition, gives the percentage of high-school dropouts by state. For convenience, the data are sorted in increasing order.

6, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16

(a) Which percentile is the value 12? (Round to the nearest whole value above.)
12 is the ------------- th percentile.


(b) Find the 88 th percentile on the data.
Locator = ---------------

88 th percentile = ----------------

(c) Find the Q1 value on the data.
Locator = ----------------------

Q1= ---------------------


(d) Find the Q3 value on the data.
Locator = ---------------

Q3= -----------------


(e) Find the Q2 value on the data.
Q2= -----------------------


(f) Find the IQR of the data.
IQR= -----------------------


(g) What are the Upper and Lower limits of the boxplot?
Upper Limit = -------------------

Lower Limit = ----------------------


(h) With five-number-summary (in the order Min - Q1- Q2 - Q3 - Max) being 6 - 10 - 11 - 13 - 16, are there any outliers?

The only outlier is 6

The only outlier is 16

Outliers are 16, and 15

Outliers are 6, and 16.

No outliers

Explanation / Answer

a.
12 is the ------------- th percentile.
it is 60 percentile

Data is copied to excel cell A1: A50
b.
Use the excel formulas PERCENTILE(A1:A50,0.88), result is 14.12

c.
Use the excel formulas QUARTILE(A2:A50,0.25), result is 10

d.
Use the excel formulas QUARTILE(A2:A50,3), result is 13

e.
Use the excel formulas QUARTILE(A2:A50,2), result is 11

f.
IQR of the data. = Q3 - Q1 = 13 - 10 = 3

g.
No outliers

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