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If the mean of 1, 2, 3, …, n is `(6"n")/11`, then the value of n is
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Find the locus of a point which is equidistant from (1, 3) and x axis.
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A point moves so that it is always at a distance of 4 units from the point (3, –2)
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Harmonic mean is better than other means if the data are for
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The first quartile is also known as _________.
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If the distance of a point from the points (2, 1) and (1, 2) are in the ratio 2 :1, then find the locus of the point.
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Find a point on x axis which is equidistant from the points (7, –6) and (3, 4).
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If A(-1, 1) and B(2, 3) are two fixed points, then find the locus of a point P so that the area of triangle APB = 8 sq.units.
Concept: undefined >> undefined
Find out the GM for the following.
| Yield of Rice (tones) | No. of farms |
| 7.5 - 10.5 | 5 |
| 10.5 - 13.5 | 9 |
| 13.5 - 16.5 | 19 |
| 16.5 - 19.5 | 23 |
| 19.5 - 22.5 | 7 |
| 22.5 - 25.5 | 4 |
| 25.5 - 28.5 | 1 |
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An investor buys ₹ 1,500 worth of shares in a company each month. During the first four months, he bought the shares at a price of ₹ 10, ₹ 15, ₹ 20 and ₹ 30 per share. What is the average price paid for the shares bought during these four months? Verify your result.
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A point P moves so that P and the points (2, 2) and (1, 5) are always collinear. Find the locus of P.
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Calculate the correlation coefficient for the following data.
| X | 5 | 10 | 5 | 11 | 12 | 4 | 3 | 2 | 7 | 1 |
| Y | 1 | 6 | 2 | 8 | 5 | 1 | 4 | 6 | 5 | 2 |
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Find the coefficient of correlation for the following:
| Cost (₹) | 14 | 19 | 24 | 21 | 26 | 22 | 15 | 20 | 19 |
| Sales (₹) | 31 | 36 | 48 | 37 | 50 | 45 | 33 | 41 | 39 |
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Calculate the coefficient of correlation for the ages of husbands and their respective wives:
| Age of husbands | 23 | 27 | 28 | 29 | 30 | 31 | 33 | 35 | 36 | 39 |
| Age of wives | 18 | 22 | 23 | 24 | 25 | 26 | 28 | 29 | 30 | 32 |
Concept: undefined >> undefined
Calculate the coefficient of correlation between X and Y series from the following data.
| Description | X | Y |
| Number of pairs of observation | 15 | 15 |
| Arithmetic mean | 25 | 18 |
| Standard deviation | 3.01 | 3.03 |
| Sum of squares of deviation from the arithmetic mean | 136 | 138 |
Summation of product deviations of X and Y series from their respective arithmetic means is 122.
Concept: undefined >> undefined
Calculate the correlation coefficient for the following data.
| X | 25 | 18 | 21 | 24 | 27 | 30 | 36 | 39 | 42 | 48 |
| Y | 26 | 35 | 48 | 28 | 20 | 36 | 25 | 40 | 43 | 39 |
Concept: undefined >> undefined
Find the coefficient of correlation for the following:
| X | 78 | 89 | 96 | 69 | 59 | 79 | 68 | 62 |
| Y | 121 | 72 | 88 | 60 | 81 | 87 | 123 | 92 |
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The locus of the point P which moves such that P is at equidistance from their coordinate axes is:
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The locus of the point P which moves such that P is always at equidistance from the line x + 2y + 7 = 0:
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Length of the latus rectum of the parabola y2 = -25x:
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