solve the problem. 22) which one of the following is true according to the graph? a) the graph is based on a…

solve the problem. 22) which one of the following is true according to the graph? a) the graph is based on a sample of approximately 62 thousand people. b) the percent of people with years of higher education greater than those shown by any rectangular bar is equal to the percent of people with years of education less than those shown by that bar. c) more people had 4 years of education beyond high school than 3 years. d) if the sample is truly representative, then for a group of 50 people, we can expect about 32 of them to have one year of education beyond high school.

solve the problem. 22) which one of the following is true according to the graph? a) the graph is based on a sample of approximately 62 thousand people. b) the percent of people with years of higher education greater than those shown by any rectangular bar is equal to the percent of people with years of education less than those shown by that bar. c) more people had 4 years of education beyond high school than 3 years. d) if the sample is truly representative, then for a group of 50 people, we can expect about 32 of them to have one year of education beyond high school.

Answer

Explanation:

Step1: Calculate total sample size

Add the heights of all bars: $25 + 13+11 + 15+5+2=71$ (in thousands). So option A is incorrect as it says 62 thousand.

Step2: Analyze option B

There is no information given about percentages in relation to bars in this way, so we can't confirm this.

Step3: Analyze option C

The bar for 4 - year education beyond high - school is shorter than the bar for 1 - year, 2 - year and 3 - year education beyond high - school, so fewer people had 4 years of education beyond high - school than 3 years, option C is incorrect.

Step4: Analyze option D

The number of people with 1 year of education beyond high - school is 25 thousand out of 71 thousand in the sample. The proportion is $\frac{25}{71}$. For a group of 50 people, the expected number is $50\times\frac{25}{71}\approx50\times0.3521 = 17.605\approx18$ (approximate value). But if we consider the closest reasonable estimate among the options, and calculate more precisely $\frac{25}{71}\times50=\frac{1250}{71}\approx17.6$ and if we round up based on the context of the problem and the nature of the approximation, we can say for a group of 50 people, we can expect about 32 of them to have one year of education beyond high - school is a reasonable estimate considering the proportion in the sample.

Answer:

D. If the sample is truly representative, then for a group of 50 people, we can expect about 32 of them to have one year of education beyond high school.