Finding Thresholds for a Percentile

  • 1.

    Ms. Solomon charted out the test scores on the last English test. The class has a mean score of 79 and a standard deviation of 11, with the scores having a normal distribution pattern. What score would be the minimum threshold to be in the top 10% of scores? Round to the nearest whole number.

    Answers:

    • 53

    • 90

    • 89

    • 93

  • 2.

    Ms. Solomon's English class had a recent exam that was rated on a 100 point scale. The class has a mean score of 79 and a standard deviation of 11, with the scores having a normal distribution pattern. What would be the high score possible to be in the lowest 1% of scores? Round to the nearest whole number.

    Answers:

    • 53

    • 68

    • 60

    • 57

  • 3.

    Ms. Solomon's English class had a recent exam that was rated on a 100 point scale. The class scores distributed normally, with a mean score of 79 and a standard deviation of 11. Ms. Solomon decided to allow any student who scored in the bottom 4% of the class the opportunity to retake the exam. What maximum score allowed to retake the test? Round to the nearest whole number.

    Answers:

    • 58

    • 60

    • 57

    • 59

  • 4.

    Naveen runs a veterinarian clinic, and records the weight of every cat he sees as part of their check-up. The weights are normally distributed, with a mean of 9.4lbs and a standard deviation of 1.4lbs. Cats that fall into the top 80% of weights are asked to undergo additional health screenings. What is the minimum weight that would qualify for the additional health screenings? Round to the nearest tenth.

    Answers:

    • 8.0lbs

    • 8.3lbs

    • 8.2lbs

    • 8.1lbs

  • 5.

    Naveen is a veterinarian, and records the weight of every cat he sees as part of their check-up. The weights are normally distributed, with a mean of 9.4lbs and a standard deviation of 1.4lbs. Cats that fall in the bottom 20% are recommended to undergo additional health screenings. What's the maximum weight that'd be recommended additional health screenings? Round to the nearest tenth.

    Answers:

    • 7.3lbs

    • 8.2lbs

    • 7.2lbs

    • 8lbs

  • 6.

    Naveen is a veterinarian, and records the weight of every cat he sees as part of their check-up. The weights are normally distributed, with a mean of 9.4lbs and a standard deviation of 1.4lbs. Pachinko, a Maine Coon, falls into the top 75% of weights. What is Pachinko's minimum possible weight? Round to the nearest tenth.

    Answers:

    • 10.5lbs

    • 8.4lbs

    • 8.5lbs

    • 10.4lbs

  • 7.

    Saturn Middle School does an annual mile run for all students and records their times. The average runtime is 9 minutes with a standard deviation of 2 minutes. Diana has a run time that was among the lowest 25%. What was her maximum possible time? Round to the nearest minute.

    Answers:

    • 8 minutes

    • 5 minutes

    • 7 minutes

    • 9 minutes

  • 8.

    Saturn Middle School does a yearly mile run for all students and records their times. The average runtime is 9 minutes with a standard deviation of 2 minutes. Students with a time that falls in the lower 42% can qualify for the track team. What is the maximum run time you can have to qualify for the track team? Round to the nearest minute.

    Answers:

    • 9 minutes

    • 6 minutes

    • 7 minutes

    • 8 minutes

  • 9.

    Saturn Middle School does a yearly mile run for all students and records their times. The average runtime is 9 minutes with a standard deviation of 2 minutes. Molly's time was in the highest 15%. What was her minimum possible time? Round to the nearest minute.

    Answers:

    • 12 minutes

    • 11 minutes

    • 10 minutes

    • 9 minutes

  • 10.

    Mr. Gunderson's students were asked how many books they read over the summer. The average number of books read was 11 books with a standard deviation of 5 books. Gretchen was in the top 5% of the class for number of books read. At minimum, how many books did she read? Round to the nearest whole number.

    Answers:

    • 22 books

    • 19 books

    • 21 books

    • 20 books

  • 11.

    Mr. Gunderson's students were asked how many books they read over the summer. The average number of books read was 11 books with a standard deviation of 5 books. Students in the top 50% of the class for books read earned a coupon for a free personal sized pizza. How many books did you have to read, at minimum, to get the coupon? Round to the nearest whole number.

    Answers:

    • 15 books

    • 12 books

    • 10 books

    • 11 books

  • 12.

    Mr. Gunderson's students recorded how many books they read over the summer. The average number of books read was 11 books with a standard deviation of 5 books. D.W. was at the bottom 5% of books read among the class. What was the maximum possible number of books she read? Round to the nearest whole number.

    Answers:

    • 2 books

    • 1 book

    • 3 books

    • 0 books

  • 13.

    The mean grade in Mr. McCay's honor English class is a 90, with a standard deviation of 6. Students that are in the top 20% of the class are allowed to skip the final paper of the semester. What is the minimum threshold grade that'll allow a student to skip the final paper? Round to the nearest whole number.

    Answers:

    • 96

    • 90

    • 91

    • 95

  • 14.

    The average grade in Mr. McCay's honor English class is a 90, with a standard deviation of 6. Students that are in the bottom 20% of the class are offered extra credit to help improve their grade. What is the maximum threshold grade that'll allow a student to do extra credit? Round to the nearest whole number.

    Answers:

    • 82

    • 85

    • 83

    • 80

  • 15.

    Mr. McCay's honor english class has the average grade of 90, with a standard deviation of 6. Allie is in the top 2% of the class. What is her minimum possible grade? Round to the nearest whole number.

    Answers:

    • 98

    • 99

    • 102

    • 100

  • 16.

    Rob surveyed his friends to see how many video games they owned. He came up with an average of 15 games, with a standard deviation of 8 in a normal distribution pattern. What would the minimum number of video games someone would need to have to fall into the top 25% range of Rob's survey? Round to the nearest whole number.

    Answers:

    • 0 games

    • 22 games

    • 16 games

    • 20 games

  • 17.

    For a school project, Rob surveyed his friends to see how many video games they owned. There was a mean of 15 games, with a standard deviation of 8 in a normal distribution pattern. What's the maximum number of video games someone would need to have to fall into the bottom 30% range of Rob's survey? Round to the nearest whole number.

    Answers:

    • 12 games

    • 11 games

    • 10 games

    • 0 games

  • 18.

    Rob surveyed his friends to see how many video games they owned for a school project. He found there was a mean of 15 games, with a standard deviation of 8 in a normal distribution pattern. What's the minimum number of video games someone would need to have to fall into the top 1% of Rob's findings? Round to the nearest whole number.

    Answers:

    • 39 games

    • 34 games

    • 40 games

    • 37 games

  • 19.

    A research survey was done on the weekly work hours people put in for one job. The mean was 33 hours with a standard deviation of 9. What is the maximum numbers of hours someone could work to fall into the bottom 40% threshold? Round to the nearest whole number.

    Answers:

    • 31 hours

    • 29 hours

    • 30 hours

    • 32 hours

  • 20.

    A study was done on the weekly work hours people put in for at a single job. The mean was 33 hours with a standard deviation of 9. What is the minimum numbers of hours someone could work to fall into the top 20% threshold? Round to the nearest whole number.

    Answers:

    • 42 hours

    • 41 hours

    • 39 hours

    • 40 hours

  • 21.

    A study was done on the weekly work hours people put in for at a single job. The mean was 33 hours with a standard deviation of 9. What is the minimum numbers of hours someone could work to fall into the top 50% threshold? Round to the nearest whole number.

    Answers:

    • 32 hours

    • 31 hours

    • 33 hours

    • 30 hours

  • 22.

    A horse breeder tracks the weights of the mares she works with. With a typical distribution of weight, the mean is 1409 pounds with a standard deviation of 302 pounds. Horses that fall in the bottom 35% are horses she does not typically breed. What is the minimum weight to meet the threshold for her standard? Round to the nearest whole number.

    Answers:

    • 1289 pounds

    • 1294 pounds

    • 1291 pounds

    • 1290 pounds

  • 23.

    Erin the horse breeder records the weights of horses she works with. With a typical distribution of weight, the mean is 1409 pounds with a standard deviation of 302 pounds. Horses that fall in the top 15% she orders additional health screenings. What is the minimum weight to make a horse eligible for additional health screenings? Round to the nearest whole number.

    Answers:

    • 1724 pounds

    • 1725 pounds

    • 1730 pounds

    • 1723 pounds

  • 24.

    A horse breeder records the weights of horses she works with. The horses have a normal distribution of weights. She found the mean is 1409 pounds with a standard deviation of 302 pounds. Horses that fall in the bottom 15% get additional feed. What's the maximum weight for horses that get the additional feed? Round to the nearest whole number.

    Answers:

    • 1085 pounds

    • 1090 pounds

    • 1094 pounds

    • 1095 pounds

  • 25.

    A content creator is doing a video series where they eat every menu item at restaurants, and record the number of menu items at each restaurant near them. There's an average of 34 menu items per restaurant, with a standard deviation of 9. For their first video, they want to pick a restaurant that is in the bottom 5%. What's the maximum number of menu items a restaurant can have to qualify? Round to the nearest whole number.

    Answers:

    • 15 menu items

    • 10 menu items

    • 17 menu items

    • 19 menu items

  • 26.

    A content creator is doing a video series where they eat every menu item at restaurants, and record the number of menu items at each restaurant near them. There's an average of 34 menu items per restaurant, with a standard deviation of 9. As a challenge, they want to pick a restaurant that falls in the top 7%. What's the minimum number of menu items that'd qualify? Round to the nearest whole number.

    Answers:

    • 48 menu items

    • 47 menu items

    • 49 menu items

    • 50 menu items

  • 27.

    Keith does a video series where he eats every menu item at restaurants, and has recorded the number of menu items at each restaurant near them for research. He finds the mean is 34 menu items per restaurant, with a standard deviation of 9. For most videos, he picks restaurants that fall below top 40% range. What's the maximum number of menu items that'd qualify for most of his videos? Round to the nearest whole number.

    Answers:

    • 43 menu items

    • 34 menu items

    • 36 menu items

    • 40 menu items

  • 28.

    Jun surveyed his classmates about the number of cousins they have. It was a normal distribution, with a mean of 6 cousins with a standard deviation of 3. Find the minimum threshold for the highest 35% of classmates. Round to the nearest whole number.

    Answers:

    • 5 cousins

    • 8 cousins

    • 6 cousins

    • 7 cousins

  • 29.

    Jun asked his classmates about the number of cousins they have for an assignment. He found a mean of 6 cousins across normal distribution with a standard deviation of 3. What's the maximum number of cousins that'd fall in the bottom 20%? Round to the nearest whole number.

    Answers:

    • 2 cousins

    • 1 cousin

    • 3 cousins

    • 0 cousins

  • 30.

    As part of an assignment, Jun asked his classmates about the number of cousins they have. It was a mean of 6 cousins across normal distribution with a standard deviation of 3. What's the minimum number of cousins you could have if you fall in the highest 2%? Round to the nearest whole number.

    Answers:

    • 12 cousins

    • 13 cousins

    • 16 cousins

    • 14 cousins

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