Yaar mujhe kuch questions to send kro stat k mean k A.M G.M H.m
Here are practice questions on Arithmetic Mean (A.M), Geometric Mean (G.M), and Harmonic Mean (H.M) β mix of easy to hard!
π Arithmetic Mean (A.M)
Q1. Find the A.M of: 5, 10, 15, 20, 25
Q2. The mean of 8 values is 12. If one value is removed and the new mean becomes 11, what was the removed value?
Q3. If A.M of x, x+2, x+4, x+6, x+8 is 20, find x.
Q4. The mean of a frequency distribution is given by:
| x | 10 | 20 | 30 | 40 |
|---|---|---|---|---|
| f | 3 | 5 | 7 | 5 |
| Find A.M. |
Q5. If A.M of 5 numbers is 18, and four of them are 14, 16, 20, 22 β find the fifth number.
π Geometric Mean (G.M)
Q6. Find the G.M of: 4, 16, 64
Q7. Find the G.M of 2 and 32.
Q8. The G.M of two numbers is 12 and one number is 4. Find the other number.
Q9. Find G.M of the following:
| x | 2 | 4 | 8 |
|---|---|---|---|
| f | 1 | 2 | 3 |
Q10. If G.M of n numbers is 6 and log values sum is 9.54, find n.
(Hint: G.M = antilog(Ξ£log x / n))
π’ Harmonic Mean (H.M)
Q11. Find H.M of: 2, 4, 8
Q12. Find H.M of 1, 1/2, 1/3, 1/4.
Q13. A car travels 60 km at 30 km/h and 60 km at 60 km/h. Find the average speed using H.M.
Q14. Find H.M from the following data:
| x | 5 | 10 | 20 |
|---|---|---|---|
| f | 2 | 3 | 5 |
Q15. If H.M of two numbers is 4 and one number is 3, find the other.
π Mixed / Relationship Questions
Q16. Verify A.M β₯ G.M β₯ H.M for numbers: 4 and 16.
Q17. If A.M = 10 and H.M = 6.4, find G.M.
(Hint: G.MΒ² = A.M Γ H.M)
Q18. For two numbers, A.M is 25 and G.M is 20. Find the two numbers.
β Answer Key (Selected)
| Q | Answer |
|---|---|
| Q1 | 15 |
| Q3 | x = 16 |
| Q6 | 16 |
| Q8 | 36 |
| Q11 | 3.43 |
| Q13 | 40 km/h |
| Q16 | A.M=10, G.M=8, H.M=6.4 β |
| Q17 | G.M = 8 |
Yaar in questions ko solve karo aur agar kisi mein problem aaye to batao, main step-by-step samjha dunga! πͺ
Hint wagera kuch na dena or mix questions bhejo grouped and ungrouped
Statistics Practice Questions
A.M, G.M, H.M β Ungrouped & Grouped Data
SECTION A β Ungrouped Data
Q1. Find the A.M of: 12, 18, 24, 30, 36, 42
Q2. Find the G.M of: 3, 9, 27, 81
Q3. Find the H.M of: 4, 6, 12, 24
Q4. The mean of 10 values is 25. If two values 30 and 40 are removed, find the new A.M.
Q5. Find G.M of: 0.5, 2, 8, 32
Q6. A person travels three equal distances at speeds of 20, 40, and 60 km/h. Find his average speed.
Q7. Find A.M, G.M, and H.M of: 9 and 4. Also verify their relationship.
Q8. The H.M of two numbers is 6 and one number is 4. Find the other.
Q9. Find G.M of: 1, 2, 4, 8, 16, 32
Q10. If A.M of 7 numbers is 15 and six of them are 10, 12, 14, 16, 18, 20 β find the 7th number.
Q11. Find H.M of: 1, 1/3, 1/5, 1/7
Q12. Two numbers have A.M = 34 and G.M = 16. Find the two numbers.
SECTION B β Grouped Data
Q13. Find A.M from the following:
| x | 5 | 15 | 25 | 35 | 45 |
|---|---|---|---|---|---|
| f | 4 | 8 | 14 | 10 | 4 |
Q14. Find G.M from the following:
| x | 2 | 4 | 8 | 16 |
|---|---|---|---|---|
| f | 2 | 3 | 4 | 1 |
Q15. Find H.M from the following:
| x | 10 | 20 | 40 | 80 |
|---|---|---|---|---|
| f | 5 | 4 | 3 | 2 |
Q16. Find A.M using step deviation method:
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
|---|---|---|---|---|---|
| f | 5 | 10 | 20 | 10 | 5 |
Q17. Find G.M from the following frequency distribution:
| Class | 10-20 | 20-30 | 30-40 | 40-50 |
|---|---|---|---|---|
| f | 4 | 6 | 5 | 5 |
Q18. Find H.M from the following:
| Class | 1-3 | 3-5 | 5-7 | 7-9 |
|---|---|---|---|---|
| f | 6 | 8 | 10 | 6 |
Q19. Find A.M, G.M, and H.M from the following and verify A.M β₯ G.M β₯ H.M:
| x | 4 | 8 | 16 |
|---|---|---|---|
| f | 1 | 2 | 1 |
Q20. The following table shows weekly wages. Find G.M and H.M:
| Wages | 100 | 200 | 400 | 800 |
|---|---|---|---|---|
| Workers | 5 | 10 | 8 | 2 |
Koi bhi question solve karo β agar answer check karna ho ya koi step samajhni ho, pooch lena! π
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