ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Statistics and Probability Videos 134 videos

SAT Math 3.5 Numbers and Operations
174 Views

SAT Math 3.5 Numbers and Operations

SAT Math 1.1 Numbers and Operations
280 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

SAT Math 5.5 Numbers and Operations
182 Views

SAT Math 5.5 Numbers and Operations

See All

SAT Math 4.1 Statistics and Probability 243 Views


Share It!


Description:

SAT Math 4.1 Statistics and Probability

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour, brought to you by Math Tests.

00:06

Sometimes, your teachers grade them on a Sine Curve.

00:11

On his last four tests, Ted scored a 71, 86, 77, and 92.

00:17

What must he score on his fifth test to have an arithmetic mean of at least 85?

00:28

He’s looking for the arithmetic mean;

00:30

remember, that's the sum of the data divided by the number of data entries.

00:35

It's another name for the AVERAGE.

00:43

To find out what Ted must score on his fifth test—we'll call it variable T—to have

00:48

an arithmetic mean of at least 85, we can write an equation as follows.

00:52

85 equals the sum of all the tests: 71 plus 86 plus 77 plus 92 plus T divided by 5.

01:03

Let's solve for T now. We start by multiplying both sides by 5.

01:07

We get 85 times 5 is 425. Adding up 71, 86, 77 and 92 equals 326 plus T.

01:15

Subtract 326 from both sides...and we get T equals 99.

01:20

So 99 is our answer. Yikes. Happy cramming, Ted…

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...