2. The National Immunization Survey reported the immunization rate (the percentage of children aged 12 to 35 months who have received all their recommended shots) for each of a random sample of 37 communities throughout the United States. The data are summarized in the stemplot below.

Stem-and-leaf of ImmRate N = 37

Leaf Unit = 1.0

1 2 3

3 2 78

7 3 0004

12 3 58899

16 4 0122

(6) 4 567889

15 5 001233

9 5 5566

5 6 01

3 6 7

2 7 2

1 7

1 8 2

(a) What are the individuals in this case? [3 pts]

(b) What is the variable in this case? Is it qualitative or quantitative? [4 pts]

(c) How would you characterize the shape of the distribution of the immunization rate? [4 pts]

(d) What fraction of the communities in the sample has immunization rates below 40%? Please express your answer in decimal form. [3 pts]

(e) Please interpret the value 16 in the column of numbers to the left of the plot. Your interpretation must be in context. [3 pts]

(f) Obtain the median immunization rate for this group of 37 communities. [5 pts]

(g) Obtain the inter-quartile range of immunization rates. [5 pts]

(h) Use the quartile-based method to determine if the data set contains any outliers. If you detect any outliers, identify them. [6 pts]