Mathematics
If the mean of the following data is 18.75, find the value of p.
| xi | fi |
|---|---|
| 10 | 5 |
| 15 | 10 |
| p | 7 |
| 25 | 8 |
| 30 | 2 |
Statistics
1 Like
Answer
Mean = 18.75
| xi | fi | fixi |
|---|---|---|
| 10 | 5 | 50 |
| 15 | 10 | 150 |
| p | 7 | 7p |
| 25 | 8 | 200 |
| 30 | 2 | 60 |
∑fi = 5 + 10 + 7 + 8 + 2 = 32
∑fixi = 50 + 150 + 7p + 200 + 60 = 460 + 7p
Mean =
⇒ 18.75 =
⇒ 600 = 460 + 7p
⇒ 7p = 600 - 460
⇒ 7p = 140
⇒ p = = 20.
Hence, p = 20.
Answered By
2 Likes
Related Questions
The heights (in cm) of 90 plants in a garden are given below :
Height (in cm) Number of Plants 58 20 60 25 62 15 64 8 66 12 74 10 Calculate the mean height.
The mean of the following data is 21.6. Find the value of p.
xi fi 6 5 12 4 18 p 24 6 30 4 36 6 The mean age of a group of 40 students is 17.45 years. Find the missing frequencies.
Age (in years) Number of students 15 3 16 ? 17 9 18 11 19 ? 20 3 Using the assumed mean method, calculate the mean weekly wage from the following frequency distribution :
Weekly wages (in ₹) Number of workers 950 24 1000 18 1050 13 1100 15 1250 20 1500 11 1600 9