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Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Mean Absolute Deviation, Standard Deviation, Percentages

Grade: 1400-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	Calculate the Mean Absolute Deviation (MAD) for the sample weights (in grams) measured in a chemical reaction: 52.3, 54.1, 51.8, 53.5, 55.2, 50.9, 56.3, 54.9, 51.6, and 53.2.	A) 1.525 grams B) 1.512 grams C) 1.503 grams D) 1.517 grams
2	Calculate the standard deviation for the weekly temperatures in Celsius: 22, 24, 23, 25, 27, 26, and 21.	A) 2.19 B) 2.11 C) 2.16 D) 2.24
3	A company’s revenue increased from $500,000 last year to $600,000 this year. Calculate the percentage increase in revenue.	A) 30% B) 15% C) 25% D) 20%
4	Calculate the mean absolute deviation (MAD) for the heights (in centimeters) of a group of students: 160, 165, 170, 175, 180, and 185.	A) 7.5 B) 6.9 C) 7.9 D) 8.1
5	Calculate the standard deviation for the daily sales (in dollars) recorded over a year: $1200, $1300, $1100, $1400, $1500, $1250, $1350, $1450, $1200, $1300, $1100, and $1400.	A) $131.40 B) $130.78 C) $129.06 D) $132.45
6	In a chemical compound, carbon constitutes 40% of the mass and hydrogen constitutes 60%. If the mass of hydrogen is 24 grams, calculate the total mass of the compound.	A) 40 grams B) 50 grams C) 35 grams D) 45 grams
7	In a shipment, item weights (in kilograms) are: 9, x, 25, 13, and 33. With a mean of 19 and a Mean Absolute Deviation (MAD) of 8 kilograms, find the value of 'x'.	A) 15 B) 17 C) 11 D) 22
8	A random sample of 8 test scores from a class are: 75.98, 85.61, 90.04, 95.32, 80.67, 70.98, 85.60, and 100. Calculate the sample standard deviation of these scores.	A) 15.97 B) 15.43 C) 14.78 D) 16.09
9	A company’s profit increased by 25% in the first quarter, decreased by 10% in the second quarter, and then increased again by 15% in the third quarter. If the initial profit was $200,000, what is the profit at the end of the third quarter?	A) $248,999 B) $250,700 C) $258,750 D) $245,850
10	The weights of seven books are: 300 ounce, 350 ounce, x, 450 ounce, 500 ounce, 550 ounce, and 600 ounce. The mean weight is 450 ounce, with an absolute deviation of 85.71 ounces. Determine 'x' and the sum of 'x' with the highest weight.	A) 1015 ounce B) 950 ounce C) 975 ounce D) 1000 ounce

Problem Id

Problem

Options

Calculate the Mean Absolute Deviation (MAD) for the sample weights (in grams) measured in a chemical reaction: 52.3, 54.1, 51.8, 53.5, 55.2, 50.9, 56.3, 54.9, 51.6, and 53.2.

A) 1.525 grams

B) 1.512 grams

C) 1.503 grams

D) 1.517 grams

Calculate the standard deviation for the weekly temperatures in Celsius: 22, 24, 23, 25, 27, 26, and 21.

A) 2.19

B) 2.11

C) 2.16

D) 2.24

A company’s revenue increased from $500,000 last year to $600,000 this year. Calculate the percentage increase in revenue.

A) 30%

B) 15%

C) 25%

D) 20%

Calculate the mean absolute deviation (MAD) for the heights (in centimeters) of a group of students: 160, 165, 170, 175, 180, and 185.

A) 7.5

B) 6.9

C) 7.9

D) 8.1

Calculate the standard deviation for the daily sales (in dollars) recorded over a year: $1200, $1300, $1100, $1400, $1500, $1250, $1350, $1450, $1200, $1300, $1100, and $1400.

A) $131.40

B) $130.78

C) $129.06

D) $132.45

In a chemical compound, carbon constitutes 40% of the mass and hydrogen constitutes 60%. If the mass of hydrogen is 24 grams, calculate the total mass of the compound.

A) 40 grams

B) 50 grams

C) 35 grams

D) 45 grams

In a shipment, item weights (in kilograms) are: 9, x, 25, 13, and 33. With a mean of 19 and a Mean Absolute Deviation (MAD) of 8 kilograms, find the value of 'x'.

A) 15

B) 17

C) 11

D) 22

A random sample of 8 test scores from a class are: 75.98, 85.61, 90.04, 95.32, 80.67, 70.98, 85.60, and 100. Calculate the sample standard deviation of these scores.

A) 15.97

B) 15.43

C) 14.78

D) 16.09

A company’s profit increased by 25% in the first quarter, decreased by 10% in the second quarter, and then increased again by 15% in the third quarter. If the initial profit was $200,000, what is the profit at the end of the third quarter?

A) $248,999

B) $250,700

C) $258,750

D) $245,850

The weights of seven books are: 300 ounce, 350 ounce, x, 450 ounce, 500 ounce, 550 ounce, and 600 ounce. The mean weight is 450 ounce, with an absolute deviation of 85.71 ounces. Determine 'x' and the sum of 'x' with the highest weight.

A) 1015 ounce

B) 950 ounce

C) 975 ounce

D) 1000 ounce