Question

these are the means and standard - deviations for samples of building heights in two different cities.

	city a	city b
standard deviation	20 ft	12 ft

select the two true statements.
a. city as heights are less spread out than city bs heights.
b. city a has a lower average height than city b.
c. city a has a greater average height than city b.
d. city as heights are more spread out than city bs heights.

Explanation:

Step1: Understand mean and standard - deviation

The mean represents the average value. The standard - deviation measures the spread of the data.

Step2: Compare means

The mean height of City A is 120 ft and of City B is 240 ft. Since 120 < 240, City A has a lower average height than City B.

Step3: Compare standard - deviations

The standard - deviation of City A is 20 ft and of City B is 12 ft. Since 20>12, City A's heights are more spread out than City B's heights.

Answer:

B. City A has a lower average height than city B.
D. City A's heights are more spread out than city B's heights.