Mean MCQ Quiz in मराठी - Objective Question with Answer for Mean - मोफत PDF डाउनलोड करा
Last updated on Apr 12, 2025
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Mean Question 1:
The mean life of a light bulb whose life X [hours] has the density f(x) = 0.001 e-0.001x (x ≥ 0) will be
Answer (Detailed Solution Below)
Mean Question 1 Detailed Solution
Explanation:
f(x) = 0.001 e-0.001x, x ≥ 0
\({\rm{Mean\;}}\left( \mu \right) = \mathop \smallint \nolimits_0^\infty x.f\left( x \right).dx\)
\(\mu = \mathop \smallint \nolimits_0^\infty x\left( {0.001} \right){e^{ - 0.001x}}.dx\)
\(\mu = \left( {0.001} \right)\left[ {\frac{{x.{e^{ - 0.001x}}}}{{ - 0.001}} - \frac{{1.{e^{ - 0.001x}}}}{{{{\left( {0.001} \right)}^2}}}} \right]_0^\infty \)
\(\mu = \left( {0.001} \right)\left[ {0 - \left( { - \frac{1}{{{{\left( {0.001} \right)}^{}}}}} \right)} \right] = \frac{1}{{0.001}}\)
∴ μ = 1000 → mean lifeMean Question 2:
Which of the following measures central tendency most appropriately.
Answer (Detailed Solution Below)
Any one of them
Mean Question 2 Detailed Solution
Mean Question 3:
If \(\rm M(x) = 2,\) where \(\rm M\) implies mean.
Then the value of \(\rm M(4x – 2)\) is
Answer (Detailed Solution Below)
\(\rm 6\)
Mean Question 3 Detailed Solution
If \(\rm M(x) = 2,\)
\(\rm Then\ M(ax + b) = a M(x)+b \\= 4 × 2 -2= 8-2=6\)