Questions & Answers: "Average"

Complete guide to "Average" for Math students. Below you will find important questions and model answers to help you prepare.

8 Questions

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Question 1

1 Mark

Following table shows the subjectwise marks scored by a student in a summative test. Find the average marks.

Diagram for Question 1

Options

Option A is correct

40

Option B

38

Option C

42

Option D

36

Question 2

1 Mark

Average weight of Siya and Nisha is 29 kg. Average weight of Fiza and Siya is 26 kg. If the total weight of Nisha and Fiza is 50 kg., what will be the maximum weight (in kg.) amongst the three girls?

Options

Option A

25

Option B

28

Option C is correct

30

Option D

34

Question 3

1 Mark

A car travelled the distance 38 km, 27 km, 40 km, 35 km in the first four hours respectively. How much distance the car should travel in the fifth hour, so that the average speed of the car will be 35 km/hr?

Options

Option A

25 km

Option B

40 km

Option C

45 km

Option D is correct

35 km

Question 4

1 Mark

The average of 10 numbers is 20. Out of which the average of first 6 numbers is 15. The average of last 3 numbers is 16 then what will be the seventh number?

Options

Option A

72

Option B is correct

62

Option C

52

Option D

60

Question 5

1 Mark

The average age of Ria and her 4 friends is 24 years. Their ages are (3m – 2), (2m + 7), (4m – 7), (3m), (3m + 2) respectively. Find the value of ‘m’

Options

Option A

7

Option B

9

Option C is correct

8

Option D

5

Question 6

1 Mark

In a class the average age of 41 students was 13.5 years. If the age of the class-teacher is added to the total ages of the students, then the average age increases by 6 months. Find the age of the class teacher.

Options

Option A

43 years 6 months

Option B is correct

34 years 6 months

Option C

35 years 6 months

Option D

36 years 6 months

Question 7

1 Mark

The mean of 25, 18, x, 20, 17, 20, 21, 25 is 21. Find the value of x.

Options

Option A

24

Option B

20

Option C

23

Option D is correct

22

Explanation

The mean of a set of numbers is the sum of the numbers divided by the count of the numbers. Given numbers are 25, 18, x, 20, 17, 20, 21, 25. The count of numbers is 8. The mean is 21. Sum of numbers = 25 + 18 + x + 20 + 17 + 20 + 21 + 25 = 146 + x. So, (146 + x) / 8 = 21. Multiplying both sides by 8, we get 146 + x = 21 * 8 = 168. Therefore, x = 168 - 146 = 22.

Question 8

1 Mark

Find the average of the cubes of first five odd natural numbers.

Options

Option A

235

Option B

255

Option C is correct

245

Option D

285

Explanation

The first five odd natural numbers are 1,3,5,7,91, 3, 5, 7, 9. We need to find the cubes of these numbers: 13=11^3 = 1 33=273^3 = 27 53=1255^3 = 125 73=3437^3 = 343 93=7299^3 = 729 Now, we find the sum of these cubes: Sum =1+27+125+343+729=1225= 1 + 27 + 125 + 343 + 729 = 1225. The number of terms is 55. The average is the sum divided by the number of terms: Average =12255=245= \frac{1225}{5} = 245. Therefore, the average of the cubes of the first five odd natural numbers is 245245.