Permutation and Combination Quiz, Statistical Research

Permutations are used when order/sequence of arrangement is needed. Combinations are used when only the number of possible groups are to be found, and the order/sequence of arrangements is not needed. Permutations are used for things of a different kind. Combinations are used for things of a similar kind.

1. Review Quiz Exam 2

2. Instructions You are divided into 6 groups. For each item, choose 1 person from the group who will answer. The group is not allowed to coach while each person is answering. The quiz is divided into 3 rounds. (Easy (1 point), Average (2 pts ), Difficult (5 points)

3. EASY ROUND

4. Question 1 Which of the following best describes the mean of a data set? A) The middle value when the data set is ordered B) The most frequently occurring value in the data set C) The sum of all values divided by the number of values D) The difference between the highest and lowest values

5. Question 1 Which of the following best describes the mean of a data set? A) The middle value when the data set is ordered B) The most frequently occurring value in the data set C) The sum of all values divided by the number of values D) The difference between the highest and lowest values

6. Question 2 If a data set has a mode of 5, what does this indicate? A) The value 5 is the smallest number in the data set B) The value 5 occurs more frequently than any other value in the data set C) The value 5 is the average of the data set D) The value 5 is the middle value of the ordered data set

7. Question 2 If a data set has a mode of 5, what does this indicate? A) The value 5 is the smallest number in the data set B) The value 5 occurs more frequently than any other value in the data set C) The value 5 is the average of the data set D) The value 5 is the middle value of the ordered data set

8. Question 3 In which situation would the median be a more accurate measure of central tendency than the mean? A) When the data set has a symmetrical distribution B) When the data set includes outliers or extreme values C) When the data set has no repeated values D) When the data set is uniformly distributed

9. Question 3 In which situation would the median be a more accurate measure of central tendency than the mean? A) When the data set has a symmetrical distribution B) When the data set includes outliers or extreme values C) When the data set has no repeated values D) When the data set is uniformly distributed

10. Question 4 Which of the following is true about the mode in a data set? A) There can be more than one mode in a data set B) The mode is always the middle value of the data set C) The mode is the same as the mean in every data set D) The mode cannot be determined if there are repeated values

11. Question 4 Which of the following is true about the mode in a data set? A) There can be more than one mode in a data set B) The mode is always the middle value of the data set C) The mode is the same as the mean in every data set D) The mode cannot be determined if there are repeated values

12. Question 5 Given the data set {7, 15, 3, 10, 7}, what is the median? A) 7 B) 10 C) 15 D) 7 and 10

13. Question 5 Given the data set {7, 15, 3, 10, 7}, what is the median? A) 7 B) 10 C) 15 D) 7 and 10

14. Question 6 If the mean of a data set is 20 and the data set contains 10 values, what is the total sum of the values in the data set? A) 200 B) 180 C) 10 D) 30

15. Question 6 If the mean of a data set is 20 and the data set contains 10 values, what is the total sum of the values in the data set? A) 200 B) 180 C) 10 D) 30

16. Question 7 What is the mean of the data set {2, 4, 6, 8, 10}? A) 5 B) 6 C) 4 D) 7

17. Question 7 What is the mean of the data set {2, 4, 6, 8, 10}? A) 5 B) 6 C) 4 D) 7

18. Question 8 Which measure of central tendency is most affected by outliers? A) Mean B) Median C) Mode D) None of the above

19. Question 8 Which measure of central tendency is most affected by outliers? A) Mean B) Median C) Mode D) None of the above

20. Question 9 For the data set {12, 15, 12, 20, 18, 15, 12}, what is the mode? A) 12 B) 15 C) 18 D) 20

21. Question 9 For the data set {12, 15, 12, 20, 18, 15, 12}, what is the mode? A) 12 B) 15 C) 18 D) 20

22. Question 10 In a perfectly symmetrical distribution, which of the following statements is true? A) The mean is less than the median B) The median is greater than the mode C) The mean, median, and mode are all equal D) The mode is always greater than the median

23. Question 10 In a perfectly symmetrical distribution, which of the following statements is true? A) The mean is less than the median B) The median is greater than the mode C) The mean, median, and mode are all equal D) The mode is always greater than the median

24. AVERAGE ROUND

25. Question 1 What does positive skewness indicate about the distribution of data? A) The distribution has a longer tail on the left side B) The distribution has a longer tail on the right side C) The distribution is perfectly symmetrical D) The distribution has no tails

26. Question 1 What does positive skewness indicate about the distribution of data? A) The distribution has a longer tail on the left side B) The distribution has a longer tail on the right side C) The distribution is perfectly symmetrical D) The distribution has no tails

27. Question 2 If a distribution is negatively skewed, which of the following statements is true? A) The mean is greater than the median B) The median is greater than the mean C) The mode is less than both the mean and median D) The median is less than the mean

28. Question 2 If a distribution is negatively skewed, which of the following statements is true? A) The mean is greater than the median B) The median is greater than the mean C) The mode is less than both the mean and median D) The median is less than the mean

29. Question 3 How can you determine the skewness of a distribution by comparing its mean, median, and mode? A) If mean > median > mode, the distribution is positively skewed B) If mean < mode < modian , the distribution is negatively skewed C) If mean = median = mode, the distribution is skewed D) If mean = median < mode, the distribution is positively skewed

30. Question 3 How can you determine the skewness of a distribution by comparing its mean, median, and mode? A) If mean > median > mode, the distribution is positively skewed B) If mean < mode < median, the distribution is negatively skewed C) If mean = median = mode, the distribution is skewed D) If mean = median < mode, the distribution is positively skewed

31. Question 4 Which of the following measures is most commonly used to quantify the skewness of a distribution? A) Range B) Standard deviation C) Skewness coefficient D) Variance

32. Question 4 Which of the following measures is most commonly used to quantify the skewness of a distribution? A) Range B) Standard deviation C) Skewness coefficient D) Variance

33. Question 5 What can be inferred about a distribution with a skewness coefficient close to zero? A) The distribution is highly skewed to the left B) The distribution is highly skewed to the right C) The distribution is approximately symmetric D) The distribution is bimodal

34. Question 5 What can be inferred about a distribution with a skewness coefficient close to zero? A) The distribution is highly skewed to the left B) The distribution is highly skewed to the right C) The distribution is approximately symmetric D) The distribution is bimodal

35. Question 6 If a data point is in the 75th percentile, what does this mean? A) The data point is below 75% of all other data points B) The data point is above 75% of all other data points C) The data point is equal to the median D) The data point is above 25% of all other data points

36. Question 6 If a data point is in the 75th percentile, what does this mean? A) The data point is below 75% of all other data points B) The data point is above 75% of all other data points C) The data point is equal to the median D) The data point is above 25% of all other data points

37. Question 7 A teacher is analyzing the results of a recent math test for her class of 30 students. She wants to understand how her students' scores compare to the rest of the class. After calculating the percentiles, she discovers that one of her students scored in the 85th percentile. What can the teacher infer about the student's performance relative to the other students? A) The student performed worse than 85% of the other students. B) The student's performance was the same as 85% of the other students. C) The student performed better than 85% of the other students. D) The student performed exactly in the middle of the class.

38. Question 7 A teacher is analyzing the results of a recent math test for her class of 30 students. She wants to understand how her students' scores compare to the rest of the class. After calculating the percentiles, she discovers that one of her students scored in the 85th percentile. What can the teacher infer about the student's performance relative to the other students? A) The student performed worse than 85% of the other students. B) The student's performance was the same as 85% of the other students. C) The student performed better than 85% of the other students. D) The student performed exactly in the middle of the class.

39. Question 8 If the teacher wanted to determine the score at the 85th percentile, what would she need to do? A) Calculate the average of all students' scores. B) Find the score below which 85% of the students' scores fall. C) Find the score above which 85% of the students' scores fall. D) Calculate the median of the scores.

40. Question 8 If the teacher wanted to determine the score at the 85th percentile, what would she need to do? A) Calculate the average of all students' scores. B) Find the score below which 85% of the students' scores fall. C) Find the score above which 85% of the students' scores fall. D) Calculate the median of the scores.

41. Question 9 Identify what is the shape of the curve with a kurtosis of Sku =0

42. Question 9 Mesokurtic Identify what is the shape of the curve with a kurtosis of Sku =0

43. Question 10 Identify what is the shape of the curve with a kurtosis of Sku >

44. Question 10 Leptokurtic Identify what is the shape of the curve with a kurtosis of Sku >

45. DIFFICULT ROUND

46. Question 1 Compute for the mean of the following data set. 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62

47. Question 1 Compute for the mean of the following data set. 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62 MEAN= 57.5

48. Question 2 Compute for the median of the following data set. 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62

49. Question 2 Compute for the median of the following data set. 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62 MEDIAN= 59

50. Question 3 Identify the 85 th percentile 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62

51. Question 3 Identify the 85 th percentile 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62 85 th Percentile (17.85 OR 18) = 66.5 OR 68

52. Question 4 Identify the Percentile rank of 72 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62

53. Question 4 Identify the Percentile rank of 62 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62 62= 97.5 th Percentile

54. Question 5 Identify the Percentile rank of 68 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62

55. Question 5 Identify the Percentile rank of 68 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62 68= 8 7. 5 th Percentile

56. Question 5 Identify the Percentile rank of 68 48, 52, 60, 45, 55, 60, 70, 62, 65, 50, 55, 60, 45, 72, 58, 60, 55, 48, 68, 62