A random sample of 411 high school students was selected in order to compare the heights, in centimeters (cm), of vegetarians and nonvegetarians. The relative-frequency histograms below show the distributions of height for the 15 students who said that they were vegetarian and for 396 students who said they were not vegetarian. vegetarian data 411 students were not vegetarian versus 15 who were. Explain why it is better to use relative frequencies versus frequencies to create the histograms. One of the vegetarians included in the survey was 165 cm tall. Estimate the relative frequency for the interval this vegetarian belongs in? Interpret the meaning of this value in a sentence using the context of the situation. One of the vegetarians had a height of 174 cm. If the 174 cm was accidentally entered in as 194 cm, what effect would the increase have on the listed measures of center and spread? For each measure below, decide whether the measures will increase, decrease, stay about the same, or if the effect cannot be determined. Mean Median Standard Deviation IQR Describe the shape of the vegetarian and non-vegetarain distribution of heights. Compare the centers of vegetarian and non-vegetarian height distributions. Who is typically taller? Explain (support numerically). Compare the spread/variability of vegetarian and non-vegetarian height distributions distributions. Whose heights tend to have more variability? Explain (support numerically)