ACT Statistics Prep

A shoe sales associates' daily commission during a week was #35 on Monday and Wednesday and $65 on Tuesday, Thursday, and Friday. What was their average daily commission for these 5 days?

• 35

• 50

• 53

• 65

Tags

CCSS.6.NS.B.2

CCSS.6.NS.B.3

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The average of 12 sprint times is y. When the fastest run and slowest run times are removed from the 12 running times, the average is x. Which of the following gives an expression for the average of the fastest and slowest run times?

• 12y-10x

• (y + x)/2

• (12y + 10x)/2

• (12y - 10x)/2

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.SP.A.3

A data set includes the 8 numbers given below. A second data set consists of the 8 numbers plus a 9th number. That 9th number is greater than 90. How will the mean and the median of the second set compare to the mean and median of the first set?

53, 65, 65, 71, 73, 75, 85, 86

• The mean of the second set will be greater than the mean of the first set, and the median of the second set will also be greater than the median of the first set.
• The mean of the second set will be equal to the mean of the first set, and the median of the second set will also be equal to the median of the first set.
• The mean of the second set will be less than the mean of the first set, and the median of the second set will be greater than the median of the first set.
• The mean of the second set will be less than the mean of the first set, and the median of the second set will also be less than the median of the first set.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A bag contains exactly 25 solid-colored marbles: 6 purple, 3 red, 12 yellow, and 4 green. If someone reaches into the bag what is the probability of randomly selecting 1 marble that is NOT green?

• 4/25

• 21/25

• 4/21

• 25/4

Tags

CCSS.7.SP.C.5

On a standard die, there is a 1/6 chance of rolling any number 1 through 6. When two dice are rolled, what is the probability of rolling two numbers whose sum is less than 8?

• 11/12

• 7/12

• 7/8

• 7/36

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

Bingo balls numbered 1-20, with one number per ball, were placed in a box. One bingo ball will be drawn at random. What is the probability of drawing a bingo ball with a number less than 8 on it?

• 7/20
• 15/20
• 10/20
• 1/20

Tags

CCSS.7.SP.C.5

If there are no restrictions on a three digit number, and each of the 3 digits can be any integer between 0 and 9, including 0 and 9, how many possible combinations are there in creating the three digit number?

• 30

• 720

• 729

• 1000

On Thursday, a ski resort sold 300 tickets. On the same day, they sold 1 ticket to each of the 6 people in the Adams family. Assume the Adam's family is a representative sample of all of the skiers at the resort on Thursday, and 50 of the tickets were sold to first time skiers. How many of the 6 members of the Adams family are NOT first time skiers?

• 1

• 3

• 5

• 4

There are 175 students taking a college level math course. After the first semester grades are finalized, 1/5 of the students earned an A and 2/7 of the students earned a B. The rest of the students in the class earned a C. How many students earned a C?

• 25

• 35

• 90

• 105

Tags

CCSS.6.NS.A.1

A sewing box contains 9 pink buttons, 12 blue buttons, 7 green buttons, and only 2 orange buttons. How many additional orange buttons must be added to the buttons that are already in the box so that the probability of randomly drawing an orange marble is 3/7?

• 12

• 13

• 15

• 19

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3