weighted average

Mandy earns money by delivering groceries. She earned
$4 on Monday, $7 on Tuesday, $5 on Wednesday, $4 on
Thursday, and $5 on Friday. What is the average amount
of money Mandy earned per day?

• 25

• 5

• 21

Answer explanation

To find the average, add all the amounts and divide by the number of days. (4+7+5+4+5)/5 = 25/5 = 5. Therefore, the average amount Mandy earned per day is $5.

Tags

CCSS.6.SP.B.5C

an average resulting from the multiplication of each component by a factor reflecting its importance.

• Ervin, Brandon, and Gage need really loud alarm clocks. 

• weighted average 

• letterbox

• pillarbox

Answer explanation

The term 'weighted average' refers to an average resulting from the multiplication of each component by a factor reflecting its importance, which matches the description provided in the question.

Why would you use a weighted average instead of a traditional average calculation?

• Because you have a lot of numbers

• Because the value you are trying to calculate is made up of categories which each have different weights.

Answer explanation

Because the value you are trying to calculate is made up of categories which each have different weights.

Find the class grade for a student with grades: Test 89%, Quiz 92, Homework 86%, and Classwork 95%.
Tests are 60% of the grade, Quiz 15%, Homework is 10% of the grade, and Classwork is 15% of the grade.

• 89.25

• 91.55

• 90.05

• i don't know

Answer explanation

To find the class grade, calculate: (Test * 0.6) + (Quiz * 0.15) + (Homework * 0.1) + (Classwork * 0.15) = (89 * 0.6) + (92 * 0.15) + (86 * 0.1) + (95 * 0.15) = 90.05. Therefore, the class grade is 90.05.

Now You Try #1

Complete the Now You Try on your notes, then input your solution here.

If you had the following grade shown below, determine what your grade would be in Mr. Tat’s class.

Round to the nearest tenth.

NOW YOU TRY #2A

Jacob is a freshman in high school and wants to see if his batting average has improved since 8^th grade. In his 200 at bat, he had 18 singles, 14 doubles, 4 triples and 7 homeruns.

Round to the thousandths (three decimal places) place.

 

a)      Calculate Jacob's batting average.

Tags

CCSS.6.RP.A.3B

Jenny read 12 pages on Monday, 25 pages on Tuesday and some pages on Wednesday. On the average, she read 23 pages per day during these 3 days. How many pages did she read on Wednesday?

• 25

• 20

• 30

• 32

Answer explanation

To find the number of pages Jenny read on Wednesday, subtract the total pages read on Monday and Tuesday from the total average pages read in 3 days. 12 + 25 = 37. 37 * 3 = 111 total pages read in 3 days. 111 - 12 - 25 = 74 pages read on Wednesday.

Tags

CCSS.3.OA.D.8

What is the weighted average of the numbers 3, 7, and 9 with weights of 2, 1, and 2 respectively?

• 5.8

• 6.2

• 6.5

• 7.0

Answer explanation

To find the weighted average, multiply each number by its weight, then sum these products and divide by the sum of the weights. (3*2 + 7*1 + 9*2) / (2+1+2) = (6 + 7 + 18) / 5 = 31 / 5 = 6.2

Terrance's homework grade was a 72, his project grade was an 80 and his exam grade was an 82. Homework is worth 10% of the final grade, the project was worth 50%, and the exam was worth 40%.

What was Terrance's final grade?

• 80

• 78

• 82

• 76

Answer explanation

To calculate Terrance's final grade, we multiply each grade by its respective weight percentage and then sum them up: (0.10 * 72) + (0.50 * 80) + (0.40 * 82) = 7.2 + 40 + 32.8 = 80. Terrance's final grade is 80.

Tags

CCSS.6.RP.A.3C

Which of the following has this formula?

• Weighted Mean

• Mean

  (Grouped data)

• Mean

  (Ungrouped data)

• Median

  (grouped data)

Answer explanation

The correct choice is Weighted Mean because it matches the given formula.

Tags

CCSS.6.SP.B.5C