JEE PYQ: Statistics Question 15
Question 15 - 2020 (05 Sep Shift 2)
If the mean and the standard deviation of the data 3, 5, 7, $a$, $b$ are 5 and 2 respectively, then $a$ and $b$ are the roots of the equation:
(1) $x^2 - 10x + 18 = 0$ (2) $2x^2 - 20x + 19 = 0$
(3) $x^2 - 10x + 19 = 0$ (4) $x^2 - 20x + 18 = 0$
Show Answer
Answer: (3) $x^2 - 10x + 19 = 0$
Solution
$a+b=10$, $ab=19$. Equation: $x^2-10x+19=0$.