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Week 7 Statistics 2 Questions | Prasnya
Statistics 2 > Week 7
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Type:
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Difficulty:
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Year:
All
9Q
01
Find the population standard deviation
σ
\sigma
σ
.
Comprehension
MEDIUM
3 marks
03 August 2025
02
How does the expected value of the sample mean change?
Comprehension
EASY
1 marks
16 March 2025
03
How does the variance of the sample mean change?
Comprehension
EASY
2 marks
16 March 2025
04
A random sample of size
100
100
100
is collected from a normal population with mean
μ
\mu
μ
and variance
σ
2
\sigma^2
σ
2
. The expected value and variance of the sample mean are
50
50
50
and
0.25
0.25
0.25
. Find
μ
+
10
σ
\mu+10\sigma
μ
+
10
σ
.
Numerical
EASY
3 marks
01 December 2024
05
A certain type of thread is manufactured with a mean tensile strength of
40
40
40
kilograms and a standard deviation of
5
5
5
kilograms. If the variance of the sample mean for a sample size of
n
1
n_1
n
1
is
0.0625
0.0625
0.0625
and the variance of the sample mean for a sample size of
n
2
n_2
n
2
is
0.0417
0.0417
0.0417
, then find an approximate value for
n
2
−
n
1
n_2-n_1
n
2
−
n
1
.
Numerical
MEDIUM
3 marks
03 December 2024
06
Compute empirical distribution of the sample.
Comprehension
EASY
1 marks
10 July 2022
07
Compute distribution mean. Enter the answer correct to one decimal place.
Comprehension
EASY
1 marks
10 July 2022
08
Compute sample mean. Enter the answer correct to one decimal place.
Comprehension
EASY
1 marks
10 July 2022
09
Compute the expected value and variance of the sample mean
X
ˉ
=
X
1
+
⋯
+
X
n
n
\bar X=\frac{X_1+\cdots+X_n}{n}
X
ˉ
=
n
X
1
+
⋯
+
X
n
.
Comprehension
EASY
2 marks
10 July 2022
Showing 9 questions.
Statistics 2 > Week 7
All PYQs
Topic-Wise PYQs
Start Weekly Test
Mock tests
Week mock
Topic mock
Subject mock
Type:
All
Difficulty:
All
Year:
All
9Q
01
Find the population standard deviation
σ
\sigma
σ
.
Comprehension
MEDIUM
3 marks
03 August 2025
02
How does the expected value of the sample mean change?
Comprehension
EASY
1 marks
16 March 2025
03
How does the variance of the sample mean change?
Comprehension
EASY
2 marks
16 March 2025
04
A random sample of size
100
100
100
is collected from a normal population with mean
μ
\mu
μ
and variance
σ
2
\sigma^2
σ
2
. The expected value and variance of the sample mean are
50
50
50
and
0.25
0.25
0.25
. Find
μ
+
10
σ
\mu+10\sigma
μ
+
10
σ
.
Numerical
EASY
3 marks
01 December 2024
05
A certain type of thread is manufactured with a mean tensile strength of
40
40
40
kilograms and a standard deviation of
5
5
5
kilograms. If the variance of the sample mean for a sample size of
n
1
n_1
n
1
is
0.0625
0.0625
0.0625
and the variance of the sample mean for a sample size of
n
2
n_2
n
2
is
0.0417
0.0417
0.0417
, then find an approximate value for
n
2
−
n
1
n_2-n_1
n
2
−
n
1
.
Numerical
MEDIUM
3 marks
03 December 2024
06
Compute empirical distribution of the sample.
Comprehension
EASY
1 marks
10 July 2022
07
Compute distribution mean. Enter the answer correct to one decimal place.
Comprehension
EASY
1 marks
10 July 2022
08
Compute sample mean. Enter the answer correct to one decimal place.
Comprehension
EASY
1 marks
10 July 2022
09
Compute the expected value and variance of the sample mean
X
ˉ
=
X
1
+
⋯
+
X
n
n
\bar X=\frac{X_1+\cdots+X_n}{n}
X
ˉ
=
n
X
1
+
⋯
+
X
n
.
Comprehension
EASY
2 marks
10 July 2022
Showing 9 questions.
