"The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.


Source: College Board


a. What percentage of SAT scores is between 401 and 629?"

For each of the following data sets, decide which has the higher standard deviation (set 1 or set 2), if any, without doing any computation. Explain the rationale behind your choice. Then, verify your choice by computing the standard deviation by hand.

pH in Water The acidity or alkalinity of a solution is measured using pH. A pH less than 7 is acidic, while a pH greater than 7 is alkaline. The following data represent the pH in samples of bottled water and tap water. a. Which type of water has more dispersion in pH using the range as the measure of dispersion?

pH in Water The acidity or alkalinity of a solution is measured using pH. A pH less than 7 is acidic, while a pH greater than 7 is alkaline. The following data represent the pH in samples of bottled water and tap water. b. Which type of water has more dispersion in pH using the standard deviation as the measure of dispersion?

Soybean Yield The data in the next column represent the number of pods on a sample of soybean plants for two different plot types. Which plot type do you think is superior? Why?

The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

Source: College Board

b. What percentage of SAT scores is less than 401 or greater than 629?

The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.

Source: College Board

c. What percentage of SAT scores is greater than 743?

Identical Values Compute the sample standard deviation of the following test scores: 78, 78, 78, 78. What can be said about a data set in which all the values are identical?

Buying a Car The following data represent the asking price, in dollars, for a random sample of 2014 coupes (a two-door car) and a random sample of 2014 Chevy Camaros.

a. Find the mean and standard deviation price for each sample.