The mean of 10 observations is 25. If one observation is removed, mean becomes 24. Find removed value.
34
The total sum of the original 10 observations is \(10 \times 25 = 250\).
After removing one observation, there are 9 observations left with mean 24, so their sum is \(9 \times 24 = 216\).
The removed value equals the difference between the two sums: \(250 - 216 = 34\).
The median of the data 10, 15, x, 25, 30 is 20. Find x.
A bowler has taken wickets : 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1, 2. Find mode.
If the mean of the data is 11, find Z : 3, 21, 10, 7, 6, 9, (Z + 6), 15, 20
What is mean deviation about the median ?
The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
Study the given table and answer the question that follows. The given table depicts the percentage of marks scored by Mary and Perul in History and Physics (out of 75 each).
| Name | History | Physics |
|---|---|---|
Mary | 60 | 64 |
Perul | 54 | 70 |
How many marks did Mary score in History?
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
The value of
(1 + cot²θ)(1 + cosθ)(1 - cosθ) - (1 - sinθ)(1 + sinθ)(1 + tan²θ) is: (θ lies in the first quadrant)