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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Mean Absolute Deviation, Standard Deviation, Percentages

Grade: 1300-a Lesson: S4-L5

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	The speeds of cars (in km/h) on a highway are: 100, 110, 105, 115, 129, 130, 115, 111, 98, 90, 125 and 120. Calculate the MAD of the speeds.	A) 12.98 km/h B) 12.43 km/h C) 11.67 km/h D) 11.07 km/h
2	The ages of a group of friends are: 22, 25, 19, 30, 32, 18, 40, 45, 34, 29, 13, 17, 49, 50, and 24. Calculate the standard deviation of their ages.	A) 4.81 B) 5.98 C) 5.36 D) 6.18
3	An item is sold at a 20% discount and the sale price is $240. Additionally, a special tax of 8% is applied to the discounted price. Find the original price of the item before the discount and tax.	A) $331 B) $318 C) $329 D) $324
4	In a student’s scores for five tests: 3, 7, 9, 13, 15, 17, x, and 29, with a mean of 14.5 and a mean absolute deviation of 6.375, the value of 'x' can be determined.	A) 23 B) 26 C) 20.8 D) 19
5	A group of students scored the following marks in a test: 10 students scored 40 marks 15 students scored 50 marks 5 students scored 60 marks Calculate the standard deviation of the test scores.	A) 6.88 B) 6.17 C) 5.93 D) 7.12
6	A solution of 30% salt is mixed with a solution of 50% salt to create 200 liters of a 40% salt solution. How many liters of each solution were mixed?	A) 120 liters B) 100 liters C) 90 liters D) 110 liters
7	A store manager noted the weekly customer count: 11.13, 15.6, 45.67, 33.45, and X. With a mean of 23.086 and MAD of 13.179, determine the value of X.	A) 9.58 B) 9.14 C) 8.91 D) 9.85
8	Calculate the weighted standard deviation for the following data set, where each value is associated with a weight: Values: 10, 20, 30, 40, and 50 Weights: 2, 3, 4, 5, and 6.	A) 13.89 B) 13.23 C) 14.12 D) 12.97
9	A company sells a product for $100, and the cost to produce it is $60. What is the percentage profit margin?	A) 59.81% B) 63.78% C) 66.67% D) 70.45%
10	In a class, student ages are 18, 19, 20, 21, 22, x, and 24. With a mean of 21 and a mean absolute deviation of 1.714, determine the value of 'x' and the sum of 'x' and the lower value.	A) 49 B) 44 C) 38 D) 41

Problem Id

Problem

Options

The speeds of cars (in km/h) on a highway are: 100, 110, 105, 115, 129, 130, 115, 111, 98, 90, 125 and 120. Calculate the MAD of the speeds.

A) 12.98 km/h

B) 12.43 km/h

C) 11.67 km/h

D) 11.07 km/h

The ages of a group of friends are: 22, 25, 19, 30, 32, 18, 40, 45, 34, 29, 13, 17, 49, 50, and 24. Calculate the standard deviation of their ages.

A) 4.81

B) 5.98

C) 5.36

D) 6.18

An item is sold at a 20% discount and the sale price is $240. Additionally, a special tax of 8% is applied to the discounted price. Find the original price of the item before the discount and tax.

A) $331

B) $318

C) $329

D) $324

In a student’s scores for five tests: 3, 7, 9, 13, 15, 17, x, and 29, with a mean of 14.5 and a mean absolute deviation of 6.375, the value of 'x' can be determined.

A) 23

B) 26

C) 20.8

D) 19

A group of students scored the following marks in a test:

10 students scored 40 marks
15 students scored 50 marks
5 students scored 60 marks
Calculate the standard deviation of the test scores.

A) 6.88

B) 6.17

C) 5.93

D) 7.12

A solution of 30% salt is mixed with a solution of 50% salt to create 200 liters of a 40% salt solution. How many liters of each solution were mixed?

A) 120 liters

B) 100 liters

C) 90 liters

D) 110 liters

A store manager noted the weekly customer count: 11.13, 15.6, 45.67, 33.45, and X. With a mean of 23.086 and MAD of 13.179, determine the value of X.

A) 9.58

B) 9.14

C) 8.91

D) 9.85

Calculate the weighted standard deviation for the following data set, where each value is associated with a weight:
Values: 10, 20, 30, 40, and 50
Weights: 2, 3, 4, 5, and 6.

A) 13.89

B) 13.23

C) 14.12

D) 12.97

A company sells a product for $100, and the cost to produce it is $60. What is the percentage profit margin?

A) 59.81%

B) 63.78%

C) 66.67%

D) 70.45%

In a class, student ages are 18, 19, 20, 21, 22, x, and 24. With a mean of 21 and a mean absolute deviation of 1.714, determine the value of 'x' and the sum of 'x' and the lower value.

A) 49

B) 44

C) 38

D) 41