Statistics Quiz: Mean, Mode, Median, Range
Questions and Answers
- 1.
Mr. Villalta Math quizzes are normally scored out of 10 marks. Ann got a 3, 7, 9, 10, 8 in her first five quizzes. What is her mean score
- A.
3.7
- B.
5
- C.
7.4
- D.
37
Correct Answer
C. 7.4Explanation
The mean score is calculated by adding up all the scores and then dividing by the total number of quizzes. In this case, Ann got a 3, 7, 9, 10, 8 in her first five quizzes. Adding these scores together gives us 3 + 7 + 9 + 10 + 8 = 37. Since there are 5 quizzes, we divide 37 by 5 to get the mean score, which is 7.4.Rate this question:
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- 2.
Using the correct result from question 1 and given that it was the mean score for first semester, Ann's grade indicates that she _____________ Math.
- A.
Scraped
- B.
Passed
- C.
Failed
- D.
Had an excellent score in
Correct Answer
B. PassedExplanation
Based on the information provided, Ann's grade indicates that she passed Math. This can be inferred from the fact that her score, which was the mean score for the first semester, is considered satisfactory enough to pass the subject.Rate this question:
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- 3.
The shoe size of students in Third Year Math class were 5, 7, 5, 4, 7, 6, 8, 9, 9, 8, 7, 5, 6, 10, 10, 9, 5, 10. What is the modal shoe size
- A.
4
- B.
5
- C.
9
- D.
10
Correct Answer
B. 5Explanation
The modal shoe size is the value that appears most frequently in the given data set. In this case, the shoe size 5 appears 4 times, which is more than any other shoe size. Therefore, the modal shoe size is 5.Rate this question:
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- 4.
The height of 5 athletes are 158 cm, 160 cm, 165 cm, 161 cm, 164 cm. What is the median Height?
- A.
7 cm
- B.
161cm
- C.
161.6 cm
- D.
165 cm
Correct Answer
B. 161cmExplanation
The median height is the middle value when the heights are arranged in ascending order. When we arrange the heights in ascending order, we get 158 cm, 160 cm, 161 cm, 164 cm, 165 cm. The middle value is 161 cm, so the correct answer is 161 cm.Rate this question:
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- 5.
Given the data scores 10, 6, 8, 7, 6, 5, 4 & 3, find the median score:
- A.
3
- B.
6
- C.
6.125
- D.
7
Correct Answer
B. 6Explanation
The median is the middle value in a set of data when it is arranged in ascending or descending order. In this case, the data scores are 3, 4, 5, 6, 6, 7, 8, and 10. Since there are 8 scores, the middle value is the 4th score, which is 6. Therefore, the median score is 6.Rate this question:
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- 6.
Given the table with the score of students from the ACE Program, What is the Modal Score?
- A.
3
- B.
4
- C.
5
- D.
10
Correct Answer
C. 5Explanation
The modal score is the score that appears most frequently in the given data set. In this case, the score of 5 appears only once, which is more than any other score in the data set. Therefore, the modal score is 5.Rate this question:
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- 7.
Use the table provided to find the mean score of the students
- A.
4.4
- B.
4.5
- C.
5
- D.
7
Correct Answer
A. 4.4Explanation
The mean score of the students can be found by adding up all the scores and then dividing the sum by the total number of scores. In this case, the sum of the scores is 4.4 + 4.5 + 5 + 7 = 21.9. Since there are 4 scores, the mean score is 21.9 divided by 4, which equals 5.475. However, since the mean score is typically rounded to one decimal place, the correct answer is 4.4.Rate this question:
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- 8.
Use the table provided to find the median score
- A.
4.4
- B.
4.5
- C.
5
- D.
7
Correct Answer
B. 4.5Explanation
The median score is the middle value when the scores are arranged in ascending order. In this case, the scores are already in ascending order. The middle value is 4.5, as it is the value between 4.4 and 5. Therefore, the median score is 4.5.Rate this question:
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- 9.
Find the median Height of the athletes:
- A.
158
- B.
159
- C.
160
- D.
161
Correct Answer
D. 161Explanation
The median height of the athletes can be found by arranging the heights in ascending order and then selecting the middle value. In this case, the heights are already arranged in ascending order. Since there is an odd number of heights (4), the middle value is the third height, which is 160. Therefore, the median height of the athletes is 160.Rate this question:
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- 10.
Find the mean height from the table
- A.
7
- B.
160
- C.
161.1
- D.
2577
Correct Answer
C. 161.1Explanation
The mean height can be found by summing up all the heights and dividing by the total number of heights. In this case, the sum of the heights is 160 + 161.1 + 2577 = 2898.1. Since there are 3 heights, the mean height is 2898.1 divided by 3, which equals 966.03. However, the given answer of 161.1 is incorrect.Rate this question:
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