Mathematics
If the mean of the following distribution is 3, find the value of p.
| x | f |
|---|---|
| 1 | 9 |
| 2 | 6 |
| 3 | 9 |
| 5 | 3 |
| p + 4 | 6 |
Measures of Central Tendency
17 Likes
Answer
| x | f | fx |
|---|---|---|
| 1 | 9 | 9 |
| 2 | 6 | 12 |
| 3 | 9 | 27 |
| 5 | 3 | 15 |
| p + 4 | 6 | 6p + 24 |
| Total | Σf = 33 | Σfx = 6p + 87 |
By formula,
Mean =
Substituting values we get,
⇒ 3 =
⇒ 99 = 6p + 87
⇒ 12 = 6p
⇒ p =
⇒ p = 2.
Hence, p = 2.
Answered By
9 Likes
Related Questions
From the data, given below, calculate the mean wage, correct to the nearest rupee.
Category Wages in ₹/day No. of workers A 50 2 B 60 4 C 70 8 D 80 12 E 90 10 F 100 6 (i) If the number of workers in each category is doubled, what would be the new mean wage ?
(ii) If the wages per day in each category are increased by 60%; what is the new mean wage ?
(iii) If the number of workers in each category is doubled and the wages per day per worker are reduced by 40%; what would be the new mean wage ?
The contents of 100 match boxes were checked to determine the number of matches they contained.
No. of matches No. of boxes 35 6 36 10 37 18 38 25 39 21 40 12 41 8 (i) Calculate, correct to one decimal place, the mean number of matches per box.
(ii) Determine, how many extra matches would have to be added to the total contents of the 100 boxes to bring the mean up to exactly 39 matches ?
In the following table, Σf = 200 and mean = 73. Find the missing frequencies f1 and f2.
x f 0 46 50 f1 100 f2 150 25 200 10 250 5 Find the arithmetic mean (correct to nearest whole number) by using step deviation method.
x f 5 20 10 43 15 75 20 67 25 72 30 45 35 39 40 9 45 8 50 6