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Week 3 Statistics 1 Questions | Prasnya
Statistics 1 > Week 3
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Difficulty:
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Year:
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10Q
01
Distance covered by a runner in the first five days of training are
3
3
3
km,
5
5
5
km,
3
3
3
km,
6
6
6
km, and
7
7
7
km. If the runner covers a distance of
4
4
4
km on the sixth day, then how does it affect his overall performance?
Single correct
EASY
3 marks
24 March 2024
02
Five number summary (min,
Q
1
Q_1
Q
1
,
Q
2
Q_2
Q
2
,
Q
3
Q_3
Q
3
, max) of the given data is:
Comprehension
EASY
3 marks
24 March 2024
03
Find the IQR (Inter-quartile range) of the given dataset.
Comprehension
EASY
1 marks
24 March 2024
04
Which among the following statements is/are true for a variable
X
X
X
?
Multiple correct
MEDIUM
3 marks
03 December 2023
05
The dataset consists of three distinct observations, say
x
x
x
,
y
y
y
and
z
z
z
, and the sum of their frequencies is
100
100
100
. Relative frequencies corresponding to
x
x
x
and
z
z
z
are
35
%
35\%
35%
and
45
%
45\%
45%
respectively. Find the cumulative frequency
(
%
)
(\%)
(
%
)
of
y
y
y
and
z
z
z
.
Numerical
EASY
3 marks
06 August 2023
06
Consider the dataset
−
2
,
−
3
,
4
,
6
,
10
-2,-3,4,6,10
−
2
,
−
3
,
4
,
6
,
10
. What is the value of IQR for the given dataset?
Single correct
EASY
4 marks
02 April 2023
07
The mean and population variance of the dataset
x
1
,
x
2
,
…
,
x
8
x_1,x_2,\ldots,x_8
x
1
,
x
2
,
…
,
x
8
are 19 and 49 respectively. What is the value of sample variance?
Numerical
EASY
3 marks
02 April 2023
08
If the
75
th
75^{\text{th}}
7
5
th
percentile of the dataset
88
,
70
,
x
,
75
,
76
88, 70, x, 75, 76
88
,
70
,
x
,
75
,
76
is
x
x
x
, then what can be the possible value(s) of
x
x
x
?
Multiple correct
MEDIUM
4 marks
10 July 2022
09
The mean height of
6
6
6
members of group-A is
6
6
6
feet and the mean height of
n
n
n
members of group-B is
4
4
4
feet. If the sum of the heights of all members of both groups is same, then find the value of
n
n
n
.
Numerical
EASY
4 marks
10 July 2022
10
If the population standard deviation of a dataset is
14
14
14
and the sample standard deviation of the same dataset is
15
15
15
, find the number of observations in the dataset. Enter the value as next highest integer.
Numerical
MEDIUM
4 marks
10 July 2022
Showing 10 questions.
Statistics 1 > Week 3
All PYQs
Topic-Wise PYQs
Start Weekly Test
Mock tests
Week mock
Topic mock
Subject mock
Type:
All
Difficulty:
All
Year:
All
10Q
01
Distance covered by a runner in the first five days of training are
3
3
3
km,
5
5
5
km,
3
3
3
km,
6
6
6
km, and
7
7
7
km. If the runner covers a distance of
4
4
4
km on the sixth day, then how does it affect his overall performance?
Single correct
EASY
3 marks
24 March 2024
02
Five number summary (min,
Q
1
Q_1
Q
1
,
Q
2
Q_2
Q
2
,
Q
3
Q_3
Q
3
, max) of the given data is:
Comprehension
EASY
3 marks
24 March 2024
03
Find the IQR (Inter-quartile range) of the given dataset.
Comprehension
EASY
1 marks
24 March 2024
04
Which among the following statements is/are true for a variable
X
X
X
?
Multiple correct
MEDIUM
3 marks
03 December 2023
05
The dataset consists of three distinct observations, say
x
x
x
,
y
y
y
and
z
z
z
, and the sum of their frequencies is
100
100
100
. Relative frequencies corresponding to
x
x
x
and
z
z
z
are
35
%
35\%
35%
and
45
%
45\%
45%
respectively. Find the cumulative frequency
(
%
)
(\%)
(
%
)
of
y
y
y
and
z
z
z
.
Numerical
EASY
3 marks
06 August 2023
06
Consider the dataset
−
2
,
−
3
,
4
,
6
,
10
-2,-3,4,6,10
−
2
,
−
3
,
4
,
6
,
10
. What is the value of IQR for the given dataset?
Single correct
EASY
4 marks
02 April 2023
07
The mean and population variance of the dataset
x
1
,
x
2
,
…
,
x
8
x_1,x_2,\ldots,x_8
x
1
,
x
2
,
…
,
x
8
are 19 and 49 respectively. What is the value of sample variance?
Numerical
EASY
3 marks
02 April 2023
08
If the
75
th
75^{\text{th}}
7
5
th
percentile of the dataset
88
,
70
,
x
,
75
,
76
88, 70, x, 75, 76
88
,
70
,
x
,
75
,
76
is
x
x
x
, then what can be the possible value(s) of
x
x
x
?
Multiple correct
MEDIUM
4 marks
10 July 2022
09
The mean height of
6
6
6
members of group-A is
6
6
6
feet and the mean height of
n
n
n
members of group-B is
4
4
4
feet. If the sum of the heights of all members of both groups is same, then find the value of
n
n
n
.
Numerical
EASY
4 marks
10 July 2022
10
If the population standard deviation of a dataset is
14
14
14
and the sample standard deviation of the same dataset is
15
15
15
, find the number of observations in the dataset. Enter the value as next highest integer.
Numerical
MEDIUM
4 marks
10 July 2022
Showing 10 questions.
