Linear Inequations (p-2) — Maths (commerce) STD 11 Commerce / Arts — Question

Calculate the correlation coefficient from the following data and interpret it.

X	9	7	6	8	9	6	7
Y	19	17	16	18	19	16	17

Find k if following functions are continuous at the points indicated against them.

\begin{aligned}
& f(x)=\left(\frac{5 x-8}{8-3 x}\right)^{\frac{3}{2 x-4}} \text { for } x \neq 2 \\
& =k \text { for } x=2 \text { at } x=2
\end{aligned}

Weight (Kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75	75-80
No. of persons	4	15	20	30	20	10	8	4

For the above data, find all quartiles and number of persons weighing between 57 kg and 72 kg.

\begin{aligned}
& f(x)=\frac{\sqrt{x+3}-2}{x^3-1} \text { for } x \neq 1 \\
& =2 \text { for } x=1, \text { at } x=1
\end{aligned}