Mathematics Review Test 2

If a student's score is in the upper quartile on a test, what does this indicate about his performance relative to other students?

• His score was exactly at the median

• He received an average score compared to their peers.

• He scored lower than 75% of the students who took the test.

• He scored higher than 75% of the students who took the test.

If a child's weight is at the 25th percentile for their age group, what does this imply?

• The child weighs less than most children in their age group.

• The child weighs more than most children in their age group.

• The child's weight is exactly at the median for their age group.

• The child's weight is average compared to others in their age group.

The front row in the movie theatre has 23 seats. If Anna was the only single lady in the group and was asked to sit in the seat that occupied the upper quartile position position, in which seat would she have to sit?

• 11

• 12

• 13

• 14

A set of four numbers that begin with the number 28 is arranged from smallest to largest. If the middle quartile is 35, which of the following could possibly be the set of numbers?

• 28, 32, 34, 38

• 28, 35, 36, 41

• 28, 34, 36, 36

• 28, 36, 40, 44

Teacher Angelo wants to know the popular anime character in his class. What is the most appropriate measure of average that he should use?

• mean

• median

• mode

• range

How will you interpret the median in the score distribution? Consider the score distribution of 15 students given below:

72 73 74 74 76 77 78 79 80 81 82 82 83 86 87

• Seven students scored above 79.

• Seven students scored below 79.

• Fourteen students scored below 79.

• Seven students scored below 79 and seven students scored above 79

A group of students recorded the number of hours they spent studying for an exam over one week. The data collected is as follows 2, 5, 7, 3, 8, 4, 6. What is the range of the data set, and what does it represent in this context?

• Five hours; it represents the average number of hours spent studying.

• Eight hours; it represents the total amount of time all students studied.

• Seven hours; it represents the highest number of hours any student studied.

• Six hours; it represents the difference between the maximum and minimum study times recorded by the students

A student named Alex took a 70-item test and scored 52 points. The scores of all students who took the test are summarized as follows: Minimum Score: 20, First Quartile (Q1): 35, Median (Q2): 45, Third Quartile (Q3): 60, Maximum Score: 70 Using this information, what does the third quartile (Q3) indicate about Alex's performance on the test?

• Alex scored better than at least 75% of the students who took the test.

• Alex scored worse than at least 25% of the students who took the test.

• Alex scored better than at least 50% of the students who took the test.

• Alex scored worse than at least 75% of the students who took the test.

In a 100-item test, the passing mark is the 3rd quartile. What does it imply?

• The students should answer at least 50 items correctly to pass the test.

• The students should answer at least 75 items correctly to pass the test.

• The students should answer at most 50 items correctly to pass the test.

• The students should answer at most 75 items correctly to pass the test.

In a dataset of student test scores, the deciles are used to divide the scores into ten equal parts. If you were to analyze the distribution of scores and determine which decile represents the top 10% of students, which of the following statements would be correct?

• The fifth decile represents the median score.

• The first decile includes the lowest 10% of scores.

• The tenth decile includes the highest 10% scores.

• The nineth decile includes the scores that are below the top students