Integers and Statistics

The mean of a set of 40 numbers is 85, and the mean of another set of 50 numbers is 76.

What is the mean when the two sets are combined?

• 70

• 80

• 90

• 100

Anna got a score of 55 which is equivalent to 70th percentile in a Mathematics test. Which of the following is NOT true?

• She scored above 70% of her classmates.

• Thirty percent of the class got scores of 55 and above.

• If the passing mark is the first quartile, she passed the test.

• Her score is below 5th decile.

In the set of 14, 17, 10, 22, 19, 24, 8, 12, and 19, the median score is ____

• 17

• 19

• 24

• 22

Number which occurs most often in a given set of numbers.

• Mean

• Median

• Mode

• Range

What is the median of the numbers a + 1, a + 3, a − 2, a + 5, and a − 4?

• a - 4

• a + 1

• a - 2

• a + 3

The median of the observations 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x.

• 21

• 22

• 23

• 24

The mean of 10 numbers is 20. If 5 is subtracted from each number, what will be the new mean?

Given the set of data 7, 25, 9, 23, 19, 31,20, calculate for the range.

The officers of a math club will pay equal contributions to buy a cake worth Php480 for their moderator. If there were two more officers, their contribution will be reduced by Php12 each. How many officers are there?

• 12

• 10

• 8

• 6

In a group of 200 students, 45 are swimmers, 36 are runners, and 62 are cyclists. There are also 18 who swim and run, 22 who run and cycle, 13 who swim and cycle, and 6 who do all three. How many students do at most one of the three given activities?

• 159

• 160

• 161

• 162