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  • Question 1
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    The mean and variance of a data set comprising 15 observations are 15 and 5 respectively.

    The new variance of resulting data if one of the observation 15 is deleted and two new observations 6 and 8 are added to the data.

  • Question 2
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  • Question 3
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    The means of two samples of size 40 and 50 were found to be 54 and 63 respectively. Their standard deviations were 6 and 9 respectively. The variance of the combined sample of size 90 is

  • Question 4
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    Let ω (ω ≠ 1) is a cube root of unity, such that (1+ω2)8 = a + bω, where a,b ∈ R,

    |a + b| is equal to

  • Question 5
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  • Question 6
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    If x + y = k is normal to y2 = 12x then k is

  • Question 7
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  • Question 8
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  • Question 9
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    If the tangent at (1,7) to the curve x2 = y − 6 touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is

  • Question 10
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