Question

The U.S. Census Bureau reported the percentage of residents 25-years-old or older in each state who held a Bachelor’s degree. ** Round all values to the tenth place **

State	Percent
Alaska	17.3
Arizona	17.2
California	21.2
Colorado	29.3
Hawaii	17.8
Idaho	17.4
Montana	18.3
Nevada	16
New Mexico	14.9
Oregon	17.6
Utah	21.2
Washington	20.2
Wyoming	16.3

1. Calculate Q1, Median (Q2), Q3, and the IQR.

Q1: ______________

Median:   _________________

Q3:_____________________

IQR: _____________________

2. Draw a boxplot of the data set Make sure to include your number line.

3. Describe the shape of the distribution.

Draw the modified box plot on your calculator. Are there any outliers? If so where are they?

Answer 1

Total number of observations is 13

therefore n = 13

we need to arrange these observation in ascending order.

14.9, 16, 16.3, 17.2, 17.3, 17.4, 17.6, 17.8, 18.3, 20.2, 21.2, 21.2, 29.3

median is the middle most observation in data set.

Formula for IQR is,

In this data maximum value=29.3

minimum value=14.9

Box plot is,

for finding outlier we use below formula

therefor 29.3 is outlier in data set.