Business Statistics

Mean of 100 items was 50. Later on it was found that two items were misread as 92 and 8 instead of 192 and 88. Find the correct mean.

If mean = 45, standard deviation = 10 and mode = 43.7. Find Pearson's coefficient of skewness.

Frequency distribution has Karl Pearson's coefficient of skewness is 0.5, mean is 5 and standard deviation is 2. Find the mode of the distribution.

If $A = \begin{bmatrix} 1 & 4 \\ 3 & 2 \\ 2 & 5 \end{bmatrix}$, $B = \begin{bmatrix} -1 & -2 \\ 0 & 5 \\ 3 & 1 \end{bmatrix}$. Find (A+B)

If regression coefficient of y on x $(b_{yx}) = -0.61$ and regression coefficient x on y $(b_{xy}) = -0.53$, calculate the coefficient of correlation and interpret the result.

The standard deviation of symmetrical distribution is 5. What must be the value of fourth moment about mean in order that the distribution be mesokurtic?

A bag contains 20 balls numbered from 1 to 20. One ball is drawn at random. Find the probability that the number of the drawn ball be multiple of 3 or 7.

Find the value of determinant of following matrix : $\begin{bmatrix} 1 & 2 & 3 \\ 2 & 5 & 1 \\ 9 & 3 & 2 \end{bmatrix}$

The trend line equation of sales (in millions rupees) is $Y = 50 + 2.5X$. Estimate the sales for the year 2022, when year of origin is assumed to be 2015.

List different sources of secondary data.