Count the Ways
Measures of Center and Variation
Z scores
Finding percentages
Random
100

A quiz has 3 multiple choice questions (A through D) followed by 4 true false questions.  How many are there to answer the quiz?

512

100

Ariel's grades are  87  82  79  91  84  86.

Find the mean and the median

Round to the nearest tenth.

Mean 84.8

Median 85

100

Suppose Taylah's  z-score for the 800m is -1.8.  What does this mean?

Her time is 1.8 standard deviations below the mean, meaning she was 1.8 standard deviations faster.
100

The mean time bus riders spend on the bus is 21 minutes with a standard deviation of 4.5 minutes.  What percent of students are on the bus between 21 and 30 minutes?  

47.5%

100

Solve (write answer as a fraction)

(x-4)/5=(5-2x)/3

x=37/13

200

How many ways are there for 6 people to line up in a line?

720

200

Josh got the exact same grade on every assignment.  What is the standard deviation of his grades?

0

200

Suppose the average battery life of the new JBL Flip 7 is 18.5 hours with a standard deviation of 2.1 hours.  Jayla's speaker lasted 22.5 hours.  Find the z score.

1.90

200

The average time bus riders spend on the bus is 21 minutes with a standard deviation of 4.5 minutes. What percent spend at most 16.5 minutes?  

16%

200

Multiply 

(5-3i)(5+3i)

34

300

How many ways are there to arrange the letters in the word ALGEBRA ?

2520

300

If the mean number of tardies per student this semester is 12.5 with a standard deviation of 2.4.  How many tardies is 2 standard deviations above the mean?

17.3  (Just add 2.4 twice to the mean)

300

Suppose the average distance to school for Indian River Students is 2.3 miles with a standard deviation of 0.4 miles.  Jayden's z score is -1.6.  How far does Jayden live from school?

About 1.7 miles (1.66)

300

The average time bus riders spend on the bus is 21 minutes with a standard deviation of 4.5 minutes.  About how many students spend at least 16.5 minutes on the bus if 780 students ride the bus?

0.84*780=655.2 which rounds to 655 students.

300

What is the domain of the function

f(x)=sqrt(x-4)

x>4

400

Sweet Frog has 10 flavors.  You are going to pick 3 flavors to put in a large cup.  How many ways can you choose 3 flavors?



120

400

Suppose the grades on a quiz in a class are 84  88  92  90  86  78  82  84  89  93.  

Two days later a student who was absent makes up the quiz and gets a 20.

Which measurement will be affected more by the new grade, the mean or the median?

The mean will be affected more.

400

The standard deviation of the school's Biology SOL was 13.5.   Markus' score of 462 was 2.5 standard deviations above the mean.  What was the school mean (average)?  

About 428 (428.25)

400

The average amount of money a family spends on a week vacation is $3450 dollars with a standard deviation of $375.  What percent of families spend no more than $3000?

11.5%

400

Factor

15x^2+13x-3

(5x-1)(2x+3)

500

There are 18 students in the key club.  How many ways are there to assign a President, a Vice President, a Treasurer, and a Recorder?

73440

500

Suppose Chad's quiz grades so far are 80  92  and 76.  What is the minimum grade Chad needs to get on the next quiz in order to have a mean (average) of 85?

92

500

The average time it takes Ryan to cut a lawn is 1.2 hours.  He cut a lawn that took him 1.6 hours and the z score was 2.1.  Find the standard deviation.

0.19

500

The average price a customer pays at a car repair shop is $1895 with a standard deviation of $495.  What percent of customers spend between $1000 and $2000?

54.9%

500

The domain of the function f(x) below is all real numbers except what two numbers?  Hint:  you CANNOT have 0 in the denominator of a function.

f(x)=1/(x^2+x-20)

-5 and 4

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