SAT Mean, Median, Mode, Probability and Percent

A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

• 6,020

• 6,027

• 6,440

• 6,468

The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table.

What was the mean score of the contestants on

Day 1 ?

Based on the histogram, of the following,

which is closest to the average (arithmetic mean)

number of seeds per apple?

• 4

• 5

• 6

• 7

Based on the histogram, of the following,

what is the median of the

number of seeds per apple?

• 5

• 5.5

• 6

• 6.5

The table above lists the lengths, to the nearest inch,

of a random sample of 21 brown bullhead fish. The

outlier measurement of 24 inches is an error. Of the

mean, median, and range of the values listed, which

will change the most if the 24-inch measurement is

removed from the data?

• Mean

• Median

• Range

• They will all change by the same amount.

The data in the table above were produced by a sleep researcher studying the number of dreams people recall when asked to record their dreams for one week. Group X consisted of 100 people who observed early bedtimes, and Group Y consisted of 100 people who observed later bedtimes. If a person is chosen at random from those who recalled at least 1 dream, what is the probability that the person belonged to Group Y ?

Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears

than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?

• 115

• 120

• 124

• 173

A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground’s surface in each region. The results are shown in the table below. Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground’s surface in the entire field?

• 150

• 1,500

• 15,000

• 150,000

The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x ?

• 570

• 513

• 214

• 155