Question

the parallel histograms below display the heights of men in each of two countries. which of the following statements is not true? the iqr for the distribution of mens heights is larger for country b. the range for the distribution of mens heights is larger in country b. mens heights in country a are more variable than mens heights in country b. the standard deviation for the distribution of mens heights is smaller in country a

Explanation:

Step1: Analyze IQR

IQR (Inter - Quartile Range) measures the spread of the middle 50% of data. Looking at the histogram, country B has a wider spread in the middle part (IQR is larger for country B).

Step2: Analyze range

Range = Maximum - Minimum. From the histogram, country B has a larger range.

Step3: Analyze variability

Variability can be measured by spread. Country A has a more concentrated (less spread out) histogram compared to country B. So, men's heights in country B are more variable than in country A.

Step4: Analyze standard deviation

Standard deviation measures the dispersion. A more concentrated distribution (like country A) has a smaller standard deviation.

Answer:

Men’s heights in country A are more variable than men’s heights in country B.