Metallurgical Engineering
GATE MT concept:standard-deviation PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:standard-deviation
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.
Question 13
Open questionMTMCQ1 markNeeds review
Consider the normal (Gaussian) distributions
,
,
shown in the figure.
and
are the standard deviation and mean of distribution
, respectively, and the means are positive. Which one of the following deductions is correct? 
Your answerChoose one option.
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Open questionMTNAT1 markNeeds review
A set of observations with normal distribution of error as ±1.96σ (where σ is standard deviation) is equivalent to the confidence interval of _______% (round off to the nearest integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionMTNAT1 markNeeds review
The grain size (X) of annealed specimens follows a symmetric distribution with a mean (μ) of 5 μm and a standard deviation (σ) of 0.5 μm. The percentage of specimens with grain size in the range 5 to 6 μm is expected to be: __________ (round off to nearest integer).
Given: For the symmetric distribution: Probability P(X ≤ μ + 2σ) = 0.98
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 23
Open questionMTNAT1 markNeeds review
The standard deviation (rounded off to one decimal place) of the following set of five numbers is ____________.
6, 8, 8, 9, 9
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionMTMCQ1 markNeeds review
The mean of a numerical data-set is
and the standard deviation is
. If a number
is added to each term in the data-set then the mean and standard deviation become:Your answerChoose one option.
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