About Statistics

Following are some of the multiple choice questions on the Statistics with answers that will help the students in developing their knowledge.

Statistics MCQ

1. Find the mean of these numbers:5,11,2,12,4,2

  • 4.1
  • 6
  • 4.5
  • 4

2. -describes middle 50% of data

  • lower quartile range
  • mean absolute deviation
  • interquartile range
  • deviation from the mean

3. -measure of variability when data is symmetric

  • deviation from the mean
  • median
  • interquartile range
  • mean absolute deviation

4. Which of the following is an example of a statistical question?

  • What color shirt are you wearing?
  • How many dogs do you have?
  • What are the favorite ice cream flavors of CMS 6th graders?
  • Is it a nice day outside?

5. What makes a question statistical?

  • Population
  • Measurability
  • Variability
  • All of the above

6. Identify the POPULATION in the following question: What are the ages of the students at Clarke Middle School?

  • Students
  • Age
  • Clarke Middle School

7. Identify the VARIABILITY in the following question: What are the ages of the students at Clarke Middle School?

  • Ages
  • Students
  • Clarke Middle School

8. What is the MODE of a data set?

  • The middle value
  • The number that occurs most frequently
  • The average
  • The difference between the max and min values

9. What is the MEDIAN of a data set?

  • The middle value
  • The number that occurs most frequently
  • The average
  • The difference between the max and min values

10. What is the RANGE of a data set?

  • The middle value
  • The number that occurs most frequently
  • The average
  • The difference between the max and min values

11. What is the MEAN of a data set?

  • The middle value
  • The number that occurs most frequently
  • The average
  • The difference between the max and min values

12. What is the median of the following data set:1, 3, 4, 4, 5, 6, 7

  • 1
  • 4
  • 5
  • 7

13. What is the mean of the following data set:1, 1, 3, 5, 5

  • 1
  • 3
  • 5
  • 15

14. What is the range of the following data set:1, 1, 3, 5, 5

  • 1
  • 3
  • 4
  • 5

15. What is the mode of the following data set:1, 1, 1, 2, 5, 9

  • 1
  • 2
  • 5
  • 9

16. What is the mode of the following data set:1, 1, 4, 5, 6, 6, 7, 8

  • 1
  • 1 and 6
  • 4
  • 7 and 8

17. What is the mode of the following data set:1, 6, 8, 10, 14

  • 1
  • 6
  • 10
  • There is no mode

18. Based on the line plot, how many students ate 5 candy bars?

  • 4
  • 3
  • 8
  • 0

19. What does it mean for a graph of data to be SYMMETRICAL?

  • Most of the data is grouped to the left side
  • Most of the data is grouped to the right side
  • Most of the data is in the middle (draw a line down the middle and both sides look the same)

20. What does it mean for a graph of data to be SKEWED LEFT?

  • Most of the data is grouped to the left side
  • Most of the data is grouped to the right side
  • Most of the data is in the middle (draw a line down the middle and both sides look the same)

21. What does it mean for a graph of data to be SKEWED RIGHT?

  • Most of the data is grouped to the left side
  • Most of the data is grouped to the right side
  • Most of the data is in the middle (draw a line down the middle and both sides look the same)

22. Which answer shows categorical data?

  • Age
  • Height
  • Number of cousins
  • Favorite singer

23. Which answer shows numerical data?

  • Favorite animal
  • Hours of sleep last night
  • Hair color
  • Elementary school you attended

24. A survey should always be ____ and ____.

  • random and biased
  • random and unbiased

25. At an assembly 7 out of 10 students who entered the gym were carrying a backpack. Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?

  • 49
  • 490
  • 210
  • 421

26. Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

  • thirty students who are often tardy
  • thirty students who are rarely tardy
  • thirty of her friends
  • thirty randomly selected students from her school

27. A public library asked every 10th person who entered to name the type of book they were getting

  • Biased
  • Unbiased

28. A sample should be

  • representative of  only middle school students only
  • a very large group
  • representative of the population
  • representative of people who volunteer

29. The Student Council asked every tenth student in the lunch line how they preferred to be contacted with school news. The results are shown in the table. Is this an unbiased sample? If yes, suppose there are 684 students at the school. How many can be expected to prefer E-mail?

  • No, it's a biased sample
  • 432
  • 304
  • 16

30. A hospital wants to open a gym. They ask the night-shift ER staff when they would use the gym.

  • Biased
  • Unbiased

31. A radio station asks its listeners to dial one of two numbers to indicate their preference for one of two candidates in an upcoming election. Of the responses received, 76% favored candidate A. If there are 1,500 registered voters, how many will vote for candidate A?

  • 1,140
  • 6
  • 1,974
  • 100

32. To determine the number of umbrellas the average household in the United States owns, a survey of 100 randomly selected households in Arizona is conducted. Of the households, 24 said that they own 3 or more umbrellas. The researcher concluded that 24% of the households in the United States own 3 or more umbrellas. Is the this a valid conclusion? Justify your answer.

  • Valid. The sample is biased.
  • Not valid. The sample is biased.
  • Valid. The sample is unbiased.
  • Not valid. The sample is unbiased.

33. A company makes DVDs and randomly selects 25 from 1500 to test them to see if they work.

  • Biased
  • Unbiased

34. What is the range?

  • average
  • biggest-smallest
  • the middle #
  • # happening the most

35. At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.12,10,10,10,13,12,11,13,10

  • 13
  • 12
  • 11
  • 10

36. Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

  • 193
  • 127
  • 60
  • 66

37. Find the median of20 30 40 50 60

  • 50
  • 40
  • 1
  • 5

38. To find the mean of a set of numbers, add up all the items and divide by...

  • 2
  • The least number
  • The maximum or biggest number
  • The number of items in the data set

39. What is the interquartile range (IQR)?

  • 4
  • 64
  • 60
  • 8

40. 33, 25, 42, 25, 31, 37, 46, 29, 38What is the interquartile range of the data?

  • 8
  • 9
  • 13
  • 21

41. Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.1,0,1,5,6,3,4

  • 3.33
  • 2.85
  • 3
  • 3.5

42. Find the median, mode and range: 3, 5, 7, 9, 11, 8, 3

  • median:7 mode:9 range:8
  • median:6 mode:3 range:7
  • median:7 mode:3 range:8

43. What is the Mean Absolute Deviation (M.A.D.) for this data?14, 19, 26, 27, 39

  • 125
  • 6.8
  • 25
  • 34

44. Is the following question statistical or non statistical?How many siblings does each Longview student have?

  • Statistical
  • Non Statistical

45. Is the following question statistical or non statistical?How many ceiling tiles are in our classroom?

  • Statistical
  • Non Statistical

46. What is the mean?4, 5, 6, 7, 3, 4, 10, 1

  • 7
  • 4.5
  • 5
  • 8

47. Find the mode:3.8, 4.2, 4.0, 4.2, 4.2

  • 4.2
  • 3.8
  • 4.0
  • 4

48. What is the median of this data set?3 , 17 , 17 , 11 , 8 , 13 , 5 , 18

  • 11
  • 12
  • 13
  • 17

49. Describe the shape of the graph.

  • Skewed right
  • Skewed left
  • Random
  • Symmetrical

50. What test score is the mode of Mary's data?

  • 49
  • 55
  • 85
  • 73

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