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Find the equation of the plane through the intersection of the planes `vecr * (hati + 3hatj) - 6` = 0 and `vecr * (3hati + hatj + 4hatk)` = 0, whose perpendicular distance from origin is unity.
Concept: undefined >> undefined
Distance of the point (α, β, γ) from y-axis is ______.
Concept: undefined >> undefined
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The distance of the plane `vecr * (2/4 hati + 3/7 hatj - 6/7hatk)` = 1 from the origin is ______.
Concept: undefined >> undefined
Find the mean deviation about the mean of the following data:
| Size (x): | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 |
| Frequency (f): | 3 | 3 | 4 | 14 | 7 | 4 | 3 | 4 |
Concept: undefined >> undefined
The mean deviation of the data 2, 9, 9, 3, 6, 9, 4 from the mean is ______.
Concept: undefined >> undefined
Find the mean deviation about the mean of the distribution:
| Size | 20 | 21 | 22 | 23 | 24 |
| Frequency | 6 | 4 | 5 | 1 | 4 |
Concept: undefined >> undefined
Find the mean deviation about the median of the following distribution:
| Marks obtained | 10 | 11 | 12 | 14 | 15 |
| No. of students | 2 | 3 | 8 | 3 | 4 |
Concept: undefined >> undefined
Calculate the mean deviation about the mean of the set of first n natural numbers when n is an odd number.
Concept: undefined >> undefined
Calculate the mean deviation about the mean of the set of first n natural numbers when n is an even number.
Concept: undefined >> undefined
Mean and standard deviation of 100 items are 50 and 4, respectively. Find the sum of all the item and the sum of the squares of the items.
Concept: undefined >> undefined
Find the mean and variance of the frequency distribution given below:
| `x` | 1 ≤ x < 3 | 3 ≤ x < 5 | 5 ≤ x < 7 | 7 ≤ x < 10 |
| `f` | 6 | 4 | 5 | 1 |
Concept: undefined >> undefined
Calculate the mean deviation about the mean for the following frequency distribution:
| Class interval | 0 – 4 | 4 – 8 | 8 – 12 | 12 – 16 | 16 – 20 |
| Frequency | 4 | 6 | 8 | 5 | 2 |
Concept: undefined >> undefined
Calculate the mean deviation from the median of the following data:
| Class interval | 0 – 6 | 6 – 12 | 12 – 18 | 18 – 24 | 24 – 30 |
| Frequency | 4 | 5 | 3 | 6 | 2 |
Concept: undefined >> undefined
Determine mean and standard deviation of first n terms of an A.P. whose first term is a and common difference is d.
Concept: undefined >> undefined
While calculating the mean and variance of 10 readings, a student wrongly used the reading 52 for the correct reading 25. He obtained the mean and variance as 45 and 16 respectively. Find the correct mean and the variance.
Concept: undefined >> undefined
The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is ______.
Concept: undefined >> undefined
Mean deviation for n observations x1, x2, ..., xn from their mean `barx` is given by ______.
Concept: undefined >> undefined
When tested, the lives (in hours) of 5 bulbs were noted as follows: 1357, 1090, 1666, 1494, 1623
The mean deviations (in hours) from their mean is ______.
Concept: undefined >> undefined
The mean of 100 observations is 50 and their standard deviation is 5. The sum of all squares of all the observations is ______.
Concept: undefined >> undefined
If `barx` is the mean of n values of x, then `sum_(i = 1)^n (x_i - barx)` is always equal to ______. If a has any value other than `barx`, then `sum_(i = 1)^n (x_i - barx)^2` is ______ than `sum(x_i - a)^2`
Concept: undefined >> undefined
