Question

The boxplot shows the property crime rate per 100,000 residents in all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Complete parts (a) through (c) below. 조 무 Region ? 무 1000 1500 2000 2500 3000 3500 4000 4500 5000 Property Crime (per 100,000 residents) a. List the approximate median crime rates per 100,000 residents for the four regions; for example, the median for Region A is about 3150. The median for Region B is 4100 The median for Region C is 3500. The median for Region D is 2450 b. List the regions from lowest to highest interquartile range. c. Why is the interquartile range a better measure of the variability for these data than the range is? The range depends on while the interquartile range depends on and is therefore

for question c, the options for the first two pull down's are

- many observations

-only two observations

and for the third pull down the options are

-more reliable

-easier to calculate

Answer 1

(a)

(i) The median for Region B is 4100

(ii) The median for Region C is 3500

(iii) The median for Region D is 2450

(b)

Interquartile Rage for Region A = 3600 - 2900 = 700

Interquartile Rage for Region B = 4250 - 3300 = 950

Interquartile Rage for Region C = 4000 - 3000 = 1000

Interquartile Rage for Region D = 2600 - 2250 = 350

Lowest to Highest is given by:

D, A, B,   C

(c)

The range depends on only two observations while interquartile range depends on many observations and is therefore more reliable.