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- Question
Consider the following grouped frequency distribution: x f 0-10 8 10-20 12 20-30 10 30-40 p 40-50 9 If the mean of the above data is 25.2, then what is the value of p?
Options- A. 9
- B. 10
- C. 11
- D. 12
- Correct Answer
- 11
ExplanationMean = (sum of fixi/ (sum of f) = (8*5 + 12*15 + 10*25 + P*35 +9*45) / (8+12+10+P+9) = 25.2(875 + 35P)/(39+P) = 25.2P = 11 - 1. The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?
Options- A. 41
- B. 39
- C. 42
- D. 45 Discuss
- 2. The ratio of number of boys and girls in a class is 2 : 3. The average weight of boys and girls in the class is 18 kg and 21 kg respectively. What is the average weight (in kgs) of all the boys and girls together?
Options- A. 99/5
- B. 101/5
- C. 109/6
- D. 96/5 Discuss
- 3. Seven friends spent Rs 14 each on a project and the eighth friend spent Rs 21 more than the average expenditure of all eight of them. What is the amount of total money (in Rs) spent by them?
Options- A. 133
- B. 136
- C. 141
- D. 155 Discuss
- 4. a, b and c are 3 values, such that a + b = 5, b + c = 7.5 and c + a = 8.5. What will be the average of these values?
Options- A. 1.5
- B. 3
- C. 3.5
- D. 4.5 Discuss
- 5. A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?
Options- A. 30
- B. 32
- C. 40
- D. 56 Discuss
- 6. Consider the following frequency distribution: x f 8 6 5 4 6 5 10 8 9 9 4 6 7 4 What is the median for the distribution?
Options- A. 6
- B. 7
- C. 8
- D. 9 Discuss
- 7. The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.
Options- A. 50.3
- B. 49.6
- C. 51
- D. 52.4 Discuss
- 8. Among four students sitting in a row, average age of last three students is 20 years and the average age of first three students is 21 years. If the age of first student is 26 years, then what is the age (in years) of the last student?
Options- A. 23
- B. 37
- C. 24
- D. 29 Discuss
- 9. Of the 3 numbers whose average is 40, the first is 1/3 rd the sum of other 2. What is the first number?
Options- A. 20
- B. 50
- C. 25
- D. 30 Discuss
- 10. Average of 14 numbers is 32. If the average of last 5 numbers is 26, then what is the average of the remaining numbers?
Options- A. 35.33
- B. 41.33
- C. 27.5
- D. 44.5 Discuss
Average problems
Search Results
Correct Answer: 42
Correct Answer: 99/5
Correct Answer: 136
Correct Answer: 3.5
Correct Answer: 40
Correct Answer: 8
Explanation:
Summation of frequencies = 6+4+5+8+9+6+4 = 42
Median = mid value = average of 21st and 22nd value
Arranging data in increasing order we get
x f
4 6
5 4
6 5
7 4
8 6
9 9
10 8
So mid value i.e 21st and 22nd value = 8
Correct Answer: 51
Correct Answer: 23
Correct Answer: 30
Correct Answer: 35.33
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