Business Statistics

Calculate the coefficient of kurtosis, when quartile deviation = 25, 10th percentile = 15 and 90th percentile = 95.

If mean and median of a moderately asymmetric distribution are 16 and 20 respectively. Compute the value of mode.

If the values of lower and upper quartiles are 40 and 90 respectively. The median value is 60, then calculate the quartile coefficient of skewness.

Calculate combined mean from the following information:

Find the coefficient of correlation between two variates X and Y. Given that their covariance is 20. The variance of X and Y are 16 and 36 respectively.

Find P(A∪B), if P(A) = 0.7 and P(B) = 0.6 and P(A∩B) = 0.5, where A and B are not mutually exclusive events.

Find the simple aggregative price index number for the year 2024 from the following information:

Find the value of following determinant: $\begin{vmatrix} 1 & 2 & 3 \\ 4 & 5 & 8 \\ 3 & 1 & 4 \end{vmatrix}$

Find 5(A-B) where A= $\begin{bmatrix} 9 & 3 \\ 2 & 8 \\ 3 & 4 \end{bmatrix}$ and B = $\begin{bmatrix} 4 & 5 \\ 2 & 3 \\ 3 & 2 \end{bmatrix}$

Define geographical classification with a suitable example.