About Statistics

Statistics is a branch of applied mathematics concerned with the collection, description, analysis, and inference of conclusions from numerical data. The mathematical theories of statistics make extensive use of differential and integral calculus, probability theory, and linear algebra. The ability to make appropriate conclusions about large groups and general occurrences from the actions and other visible traits of small samples is of particular importance to statisticians. These tiny samples represent a subset of a broader group or a limited number of similar occurrences.

Describing the characteristics of samples and populations using descriptive statistics and inferential statistics, respectively, are two of the most important fields of statistics.

Salient Features of Statistics

  • Statistics is the study and data manipulation, which includes methods for data collection, examination, analysis, and conclusion.
  • Descriptive and inferential statistics are the two main types of statistics.
  • Statistics can help you make better business and investment choices.

Uses of Statistics

Statistics are commonly employed in a variety of applications and occupations. Statistics are created whenever data is collected and examined. This can include everything from government organizations to academic research to financial analysis.

Economists gather and analyze a wide range of data, housing starts, including consumer spending, GDP growth, and inflation. Analysts and investors in finance gather information on businesses, industries, sentiment, and market price and volume data. The use of inferential statistics in various domains is referred to as econometrics. Statistical inference is used in a number of major financial models, including CAPM, Modern Portfolio Theory (MPT), and the Black-Scholes options pricing model.

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. What is the range?

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

2. If you score 76, 85, 97, and 83 on your math tests, what would your median score be?

  • 84
  • 90
  • 85
  • 88

3. The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?

  • 94 was the highest score on the test.
  • More students received a 94 than any other score
  • No student scored below a 94
  • A score of 91 was slightly below average.

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

  • 2
  • The minimum
  • The maximum
  • The number of items

5. 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

6. 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
  • None of these

7. 33, 25, 42, 25, 31, 37, 46, 29, 38What is the interquartile range of the data?

  • 8
  • 9
  • 13
  • 21

8. Which of the following is a population?

  • 7th grade girls at Schroeder
  • 7th grade boys at Schroeder
  • Teachers at Schroeder
  • All students at Schroeder

9. A data set can have more than one median?

  • True
  • False

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 MEDIAN of a data set?

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

12. 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?

13. What makes a question statistical?

  • Population
  • Measurability
  • Variability
  • All of the above

14. 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

15. A sample should be

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

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

  • Statistical
  • Non Statistical

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

  • Biased
  • Unbiased

18. 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

19. What is the median of this data?0, 2, 4, 6, 8, 9

  • 5
  • 4
  • 6
  • 4.5

20. What is the mode of the following data set?{5, 9, 5, 2, 7, 10}

  • 10
  • 7
  • 8
  • 5

21. What is the median of the following data set?{5, 9, 5, 2, 7, 10}

  • 6
  • 4
  • 5
  • 7

22. What is the median of the following data set? 25, 42, 36, 12, 19

  • 36
  • 25
  • 39
  • 26.5

23. What does the MAD tell us about a data set?

  • The average number
  • The measure of variation
  • The number that occurs most often
  • The middle number

24. How do you find the range of a set of data?

  • Find the middle number
  • The number that appears the most
  • Add all the numbers up and divide them by the total amount of numbers
  • The highest value minus the lowest value

25. What is the mean of this set of data? 2, 15, 7

  • 24
  • 3
  • 6
  • 8

26. A data set can have more than one mode

  • True
  • False

27. Which answer shows numerical data?

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

28. Which event is not a dependent event?

  • Picking 2 students be line leader and door holder from a group of 20 students
  • Picking 2 marbles from a bag without replacing the first marble
  • Picking 2 blue crayons from a box
  • Picking an earring, replacing it, then picking a 2nd earring

29. Temperature and number of people wearing jackets

  • Positive Correlation
  • Negative Correlation
  • No Correlation
  • None of these

30. Which could be a sample?

  • All students at UND
  • Students in a sorority at UND
  • All professors at UND
  • None of these

31. 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)
  • None of these

32. 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)
  • Both A & B

33. 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)
  • None of these

34. Find the median of20 30 40 50 60

  • 50
  • 40
  • 1
  • 5

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

  • Biased
  • Unbiased

36. Which answer shows categorical data?

  • Age
  • Height
  • Number of cousins
  • Favorite singer

37. Probability can be between what two numbers?

  • 10 and 20
  • 0 and 100
  • 0 and 1
  • All Numbers are possible

38. Amount of Education and Amount of income

  • Positive Correlation
  • Negative Correlation
  • No Correlation
  • None of these

39. Distance traveled vs. amount of gas in the car

  • Positive Correlation
  • Negative Correlation
  • No Correlation
  • All of above

40. At a football game, a researcherrandomly asks 100 people to nametheir favorite sport. Is this a biasedsample?

  • Yes
  • No

41. What is the MAD of the following set of data? Round your answer to the nearest tenth. 2, 4, 18, 10, 7, 13

  • 5
  • 4.7
  • 4
  • 9

42. Roger has the following data:12, 10, 3, 5, 6Susan has the following data:5, 9, 4, 5, 6Who has the data with the highest median and what is it?

  • Roger - 6
  • Susan - 7
  • Roger - 8
  • Susan - 5.5

43. What is the LE/min and UE/max of the following data:15, 20, 5, 10, 2, 3, 19, 7, 11

  • 2, 15
  • 3, 19
  • 2, 20
  • 0, 100

44. A website asks a visitor to fill out anonline survey. Is this a random sample?

  • Yes
  • No, its voluntary
  • No, its mandatory
  • All of above

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

  • 7
  • 4.5
  • 5
  • 8

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

  • 4.2
  • 3.8
  • 4.0
  • 4

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

  • 193
  • 127
  • 60
  • 66

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

  • 11
  • 12
  • 13
  • 17

49. In order to find the median, the data must be sorted from least to greatest first.

  • True
  • False

50. -difference between the largest and smallest value of a data set

  • mean
  • median
  • mode
  • range

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