# Calculating the Variance of the Sampling Distribution of a Sample Mean

• 1.

The mean weight of students in a class is 120 lbs with a standard deviation of 2. Find the variance of the sample size of 20 students.

Answers:

• 0.2

• 0.4

• 0.8

• 0.6

• 2.

The mean of the sales made by different employees in a company in a year is $1,280 with a standard deviation of 105. What is the correct variance of the sample size of 50 employees? Answers: • 220.5 • 251.2 • 14.9 • 15.8 • 3. The data collected about the profits earned by different companies in a year have a mean of 12 million dollars with a standard deviation of 1 million dollars. Identify the variance of the sample size of 100 companies. Answers: • 0.04 • 0.1 • 0.2 • 0.01 • 4. The mean and the standard deviation of the weight of some pebbles are 32 ounces and 4 ounces. Which of the following options is the accurate variance of the sample size of 45 pebbles? Answers: • 0.07 • 0.36 • 0.06 • 0.48 • 5. The mean and the standard deviation of the number of students joining the online platform to study from different cities in a week is 2,500 and 125. Compute the variance of the sample size of 95 cities. Answers: • 164.47 • 165.47 • 163.35 • 166.35 • 6. The mean number of rooms in hotels in an area is 45 with a standard deviation of 13. Select the correct variance of the sample size of 40 hotels. Answers: • 4.34 • 4.42 • 4.23 • 4.14 • 7. The mean of the visitors to the hospitals in an area in a month is 240 with a deviation of 18. Calculate the variance of the sample size of 10 hospitals. Answers: • 34.38 • 32.4 • 33.38 • 31.4 • 8. The data collected about the number of females in different organizations have a mean of 550 with a standard deviation of 20. What is the correct variance of the sample size of 90 organizations? Answers: • 4.64 • 4.44 • 4.85 • 4.25 • 9. The mean and the standard deviation of the number of balls in different bags are 120 and 17. Determine the variance of the sample size of 35 bags. Answers: • 8.36 • 8.46 • 8.26 • 8.16 • 10. The mean price of the cars manufactured by different companies is$85,000 with a standard deviation of 1000. Which of the given options is the accurate variance of the sample size of 20 companies?

Answers:

• 25,000

• 50,000

• 1,00,000

• 75,000

• 11.

The mean and the standard deviation of the number of schools in different cities are 25 and 3. Evaluate the variance of the sample size of 85 cities.

Answers:

• 0.2

• 0.1

• 0.4

• 0.3

• 12.

The mean marks obtained by students in an online examination is 91 with a standard deviation of 3. Choose the correct variance of the sample size of 30 students.

Answers:

• 0.9

• 0.6

• 0.3

• 0.1

• 13.

The mean number of workers in different companies in an area is 540 with a standard deviation of 12. Find the variance of the sample size 30 companies.

Answers:

• 4.8

• 4.2

• 4.6

• 4.4

• 14.

The mean and the standard deviation of the milk pouches in different crates in a cheese-making company are 452 and 20. What is the correct variance of the sample size of 80 crates?

Answers:

• 0.25

• 5

• 320

• 4

• 15.

The mean and the standard deviation of the fish in different ponds are 800 and 35. Identify the variance of the sample size of 40 ponds.

Answers:

• 30.63

• 30.42

• 30.22

• 30.83

• 16.

The data collected about the students choosing mathematics after high school in different colleges has a mean of 482 with a standard deviation of 12. Which of the following choices is the accurate variance of the sample size of 75 colleges?

Answers:

• 1.32

• 1.92

• 1.52

• 1.72

• 17.

The mean price of the cakes in different bakeries is $22 with a standard deviation of 3. Compute the variance of the sample size 25 bakeries. Answers: • 0.54 • 0.45 • 0.36 • 0.27 • 18. The data collected about the number of travelers from different countries have a mean of 740 with a standard deviation of 42. Select the correct variance of the sample size of 50 countries. Answers: • 35.28 • 37.28 • 38.28 • 36.28 • 19. The mean and the standard deviation of students in different schools are 1,500 and 200. Calculate the variance of the sample size of 60 schools. Answers: • 333.33 • 666.67 • 3.33 • 6.67 • 20. The mean of the visitors to the museums is 1,750 with a deviation of 180. What is the correct variance of the sample size of 70 meuseums? Answers: • 462.56 • 462.76 • 462.66 • 462.86 • 21. The mean weight of the elephants in a zoo is 165 lbs with a standard deviation of 15. Determine the variance of the sample size of 15 elephants. Answers: • 30 • 45 • 60 • 15 • 22. The mean price of the houses in an area is$22,000 with a standard deviation of 300. Which of the given choices is the accurate variance of the sample size 10 houses?

Answers:

• 3,000

• 90,000

• 9,000

• 30,000

• 23.

The data collected about the children joining dance clubs have a mean of 130 with a standard deviation of 10. Evaluate the variance of the sample size of 20 dance clubs.

Answers:

• 5

• 40

• 0.5

• 2

• 24.

The mean and the standard deviation of the female advocates in different states are 940 and 25. Select the correct variance of the sample size of 65 states.

Answers:

• 9.82

• 9.42

• 9.22

• 9.62

• 25.

The mean of the visitors to the amusement parks in a state is 740 with a deviation of 140. Find the variance of the sample size of 30 parks.

Answers:

• 643.33

• 663.33

• 653.33

• 633.33

• 26.

The mean and standard deviation of physicians in different hospitals in an area is 70 and 3. What is the correct variance of the sample size of 10 hospitals?

Answers:

• 0.9

• 3.9

• 0.3

• 3.3

• 27.

Both the mean and the standard deviation of time taken by the baking ovens to bake cake is 2 hours and 10 minutes. Identify the variance of the sample size of 40 ovens.

Answers:

• 0.2

• 3.5

• 2.5

• 3

• 28.

The mean and the standard deviation of the number of chefs in different states are 1,800 and 350. Which of the following options is the accurate variance of the sample size of 35 states?

Answers:

• 350

• 3,500

• 10

• 100

• 29.

The data collected about the number of books in libraries has a mean of 1,250 with a standard deviation of 70. Compute the variance of the sample size of 55 libraries.

Answers:

• 90.09

• 88.09

• 89.09

• 87.09

• 30.

The mean height of individuals in an area is 5.8 feet with a standard deviation of 1. Choose the correct variance of the sample size of 5 individuals.

Answers:

• 5

• 2

• 0.5

• 0.2

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