Question

The statistics below summarize the populations of the 50 U.S. states and the District of Columbia, in millions of people, according to the 2000 census.

Count 51 Mean 5.5 StdDev 6.1 Max 34 Q3 6 Median 4 Q1 1 Min 1

1. (a) What percentage of the states have 6 million or more people?

2. (b) What is the meaning (in context) of the median of these data?

3. (c) Would you describe these data as symmetric, skewed right, or skewed left? Why?

4. (d) Sketch a boxplot of these data.

Answer 1

a.)Percentage of the states have 6 million or more people=25%

(as 6 is third Quartile of the data, which means total 75% data lie below 6 million people.)

b.)Median means it is the middle of the whole population, or we can say 50% of the population is below the median and 50% of the people lie above the median.

c.)Here

Mean(5.5) > Median(4)

so, it is skewed right

d.)