MereTeacher

JEE • NEET • FOUNDATION

JEE Previous Year Question

$The coefficient of variation of 9, 3, 11, 5, 7, is$

Topic: JEE PYQ

Answer: C. Full step-by-step solution below.

A $\frac{100 2}{7}$
B $\frac{200 2}{3}$
C $\frac{200 2}{7}$
D $\frac{100 2}{3}$

Correct answer: C

Solution

(c) Here given the numbers are 9, 3, 11, 5, 7 . Now, mean (x) = \frac{9 + 3 + 11 + 5 + 7}{5} = \frac{35}{5} = 7 Variance σ^{2} = \frac{1}{5} (9^{2} + 3^{2} + 11^{2} + 5^{2} + 7^{2}) - (7)^{2} = \frac{1}{5} (81 + 9 + 121 + 25 + 49) - 49 = \frac{285}{5} - 49 = 8 ∴ Coefficient of variation \frac{σ ^{2}}{x} \times 100 = \frac{8}{7} \times 100 = \frac{200 2}{7}

More Statistics PYQs

$If the standard deviation of the numbers - 1, 0, 1, k is 5 where k > 0, then k is equal to$
$If 10 is the mean of the data 2, 3, 5, 18, 17, 15, 13, x, 9 and 7 , then the me\dots$
$The mean deviation from the mean for the observations\dots$
$For the set A = (x_{1}, x_{2}, x_{3}, x_{4}, x_{5}) the variance is 4 and the mean i\dots$
$The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacheris appoint\dots$