Statistics and Probability Review

Which event is most likely to occur?

• tossing a fair coin and landing on heads

• spinning a 3 on a spinner divided into 4 equal sections numbered 1 through 4

• picking a red marble from a bag of marbles that contains 3 blue, 4 red, and 2 green marbles

• rolling a number cube that has sides numbered 1 through 6 and landing on a number less than 5

Jamie spun a colored spinner 20 times. The results of her spins are shown in the frequency table. Based on the data in the table, how many times would you expect the spinner to land on green if Jamie spun the spinner 400 times?

• 20 times

• 67 times

• 80 times

• 100 times

• 4 times

Raul has a fair coin and a spinner divided into four congruent sections labeled A, B, C, and D. Raul will toss the coin once and then spin the spinner. Which tree diagram correctly shows all the possible outcomes?

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1. Mr. Smith places 10 cards labeled 1, 5, 8, 9, 11, 19, 21, 23, 28, and 30 in a bowl. He will randomly select one card from the bowl without looking.

What is the probability that Mr. Smith will select a card with a two-digit number?

• 1/8

• 2/5

• 3/5

• 3/2

• 6/4

3. A basketball coach determines the team has a 1/32 probability of winning a tournament. Which choice describes the probability of the coach's basketball team winning the tournament most accurately?

• certain

• impossible

• likely

• unlikely

Student Y tosses a coin 30 times. The table shows the results for Student Y.

Based on the table, what is the relative frequency (same thing as experimental probability) of Student Y's coin landing on tails?

• 18%

• 40%

• 60%

• 82%

• 50%

If Student X rolls a number cube 120 times, approximately how many times should the number cube land on 5?

• 60 times

• 54 times

• 24 times

• 20 times

• 50 times

52. Conner and Helen survey a total of 215 students about their favorite flavors of ice cream. The table shows the results of the survey. Which statement is true about the survey results?

• About half of the students surveyed prefer chocolate ice cream.

• About 25% of students prefer strawberry ice cream.

• The majority of the students surveyed prefer either strawberry or vanilla ice cream.

• There are 28 more students who prefer vanilla to chocolate ice cream.

55. A doctor randomly samples male and female weights for a study. The results of the doctors study are shown. Based on the data, which statement about male and female weights is true?

• The range of female weights is 20 pounds greater than the range of male weights, but the mean weights of females and males are the same.

• The range of male weights is 20 pounds greater than the range of female weights, but the mean weights of females and males are the same.

• The mean weight of males is 20 pounds greater than the mean weight of females, but the range of weights of females and males is the same.

• The mean weight of females is 20 pounds greater than the mean weight of males, but the range of weights of females and males is the same.

Which number could be used to express the probability of an event occurring?

• 7/4

• -3/4

• 1/4

• 2 1/4