Business Statistics

Calculate Spearman's rank correlation coefficient when n = 10 and $\Sigma d^2 = 204$, where d = difference between two ranks.

Calculate standard deviation, when mean = 50 and coefficient of variation = 30%.

Find Karl Pearson's coefficient of skewness, when mean = 44, mode = 40 and standard deviation = 10.

The year of origin of the following trend line equation of sales (in millions rupees) is 2018. $y = 31.5 + 1.2x$ Estimate the sales for the year 2024.

In an asymmetrical distribution, mean = 55 and mode = 58, find the value of median.

Calculate correlation coefficient (r), when byx = -0.62 and bxy = -0.72.

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

Find the value of following determinant: $\begin{vmatrix} 4 & 5 & 3 \\ 1 & 7 & 8 \\ 3 & 0 & 4 \end{vmatrix}$

Find (5A - 2B), where A = $\begin{pmatrix} 3 & 8 & 9 \\ 6 & 5 & 7 \end{pmatrix}$ and B = $\begin{pmatrix} -2 & 1 & 4 \\ -3 & 2 & 5 \end{pmatrix}$.

Explain in brief the direct personal interview with suitable example.