Exam 11: Statistics

Find the standard deviation.

The is the mean of the smallest and largest values in a data set.

According to recent research, the mean height for women in the U.S. is 63.7 inches (which you Already knew, right?), and the standard deviation is 2.7 inches. The normal graph below is marked With the mean and heights that are one and two standard deviations above and below the mean. Make an educated guess on the percentage of total shaded area between 58.3 and 69.1 inches.

The following frequency distribution shows for a certain high school the number of freshmen, sophomores, juniors, and seniors who smoke. Construct a pie chart for the data.

When an existing group of subjects that represent the population is used for a sample, it is called a sample.

Find for the ages of nine students.

Find the mean.

The table below lists the average high temperature in degrees Fahrenheit for each month of the year On a particular island. Find the mode and the median.

A university finished the season ranked fourth out of 128 teams in football and eleventh out of 297 Teams in baseball. Based on percentile rank, which team had the better ranking?

The average selling price of homes in a certain city is $359,400. Assume the variable is normally distributed with a standard deviation of $17,700. If 427 homes are for sale, how many homes will sell for more than $325,770?

When data are normally distributed, approximately of the values are within 1 standard deviation of the mean, approximately are within 2 standard deviations of the mean, and approximately are within 3 standard deviations of the mean.

Fifty families reported their annual household income (in thousands of dollars). Construct a frequency distribution for the data using six classes.

These data represent the number of students enrolled at a community college. Draw a time series graph for the data.

The exam grades of 31 students were used to obtain the frequency distribution below. Construct a histogram for the data.

A professor has two sections of Math 115 this semester. The 8:30 A.M. class has a mean score of 73% with a standard deviation of 3.6%. The 2 P.M. class also has a mean score of 73%, but a standard deviation of 19.2%. What can we conclude about the students' averages in these two sections?

Evaluate this claim by an advertiser: 64% of people surveyed prefer our brand of Cola over the leading national brand.

The frequency distribution below was obtained by monitoring the number of vacation days per year taken by twenty-five employees. Construct a frequency polygon for the data.

Find the area under the normal distribution curve between z = -1.10 and z = 2.25.

Suppose the mean number of candies in a standard vending machine bag is 47.6, with a standard deviation of 1.3. Assume that the number of candies per package is normally distributed. a. Fill in the blanks below the normal curve with the appropriate information. b. If you buy 1,000 packages of candies, about how many bags would you expect to have between 46 and 49 M&M's in it? c. What percentage of the bags have less than 45 candies?

A small company did a poll of how their employees commuted to work. Use the data to draw a bar graph.