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JEE Questions for Maths Statistics Quiz 2 - MCQExams.com
JEE
Maths
Statistics
Quiz 2
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0%
0%
2)
0%
0%
None of these
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24
0%
32
0%
8
0%
16
0%
40
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0%
2)
0%
0%
0%
The average of the four - digit numbers that can be formed using each of the digits 3, 5, 7 and 9 exactly once in each number, is
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4444
0%
5555
0%
6666
0%
7777
0%
8888
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0%
0%
2)
0%
0%
None of these
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
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40%
0%
20%
0%
80%
0%
60%
If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
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24.0
0%
25.5
0%
20.5
0%
22.0
The variance of first n natural numbers
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0%
0%
2)
0%
0%
If the coefficient of variation and standard deviation are 60 and 21 respectively, then arithmetic mean of distribution is
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60
0%
30
0%
35
0%
21
The standard deviation of 9, 16, 23, 30, 37, 44, 51, is
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7
0%
9
0%
12
0%
14
0%
16
The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are
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2 and 9
0%
3 and 8
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4 and 7
0%
5 and 6
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Statement I is incorrect, Statement II is correct
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Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I
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Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
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Statement I is correct, Statement II is incorrect
Coefficient of variation of two distributions are 50% and 60%, and their arithmetic means are 30 and 25, respectively. Difference of their standard deviation is
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1
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1.5
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2.5
0%
0
For two data sets, each of seize 5, the variance are given to be 4 and 5 and the corresponding the means are given to be 2 and 4, respectively. The variance of the combined data set is
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5/2
0%
11/2
0%
6
0%
13/2
If the mean deviation of number 1, 1 + d, 1 + 2d...., 1 + 100d from their mean is 255, then d is equal to
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10, 0
0%
20, 0
0%
10, 1
0%
20, 2
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Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I
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Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I
0%
Statement I is correct, Statement II is incorrect
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Statement I is incorrect, Statement II is correct
If the variable takes the values 0, 1, 2,...,n with frequencies proportional to the binomial coefficients C(n, 0), C(n, 1), C(n, 2),...,C(n, n) respectively, then the variance of the distribution is
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n
0%
√n/2
0%
n/2
0%
n/4
If the variance of 1, 2, 3, 4, 5,..., 10 is 99/2, then the standard deviation of 3, 6, 9, 12,...30 is
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0%
2)
0%
0%
0%
If the standard deviation of the observations -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 is √10. The standard deviation of observations 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 will be
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√10 + 20
0%
√10 + 10
0%
√10
0%
None of these
Mean and standard deviation from the following observations of marks of 5 students of a tutorial group (marks out of8, 12, 13, 15, 22 are respectively
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14, 4.604
0%
15, 4.604
0%
14, 5.604
0%
None of these
The standard deviation for the scores 1, 2, 3, 4, 5, 6 and 7 is 2. Then, the standard deviation of 12, 23, 34, 45, 56, 67 and 78 is
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0%
2
0%
4
0%
22
0%
11
0%
44
The standard deviation of a variable
x
is 10. Then, the standard deviation of 50 + 5
x
is
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0%
50
0%
550
0%
10
0%
500
The standard deviation of the numbers 31, 32, 33,...,46, 47 is
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0%
0%
2)
0%
0%
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0%
81
0%
76
0%
9
0%
2.26
Suppose population A has 100 observations 101, 102,...200 and another population B has 100 observations 151, 152, ..., 250. If V
A
abd V
B
represents the variance of the two population respectively, then V
A
/V
B
is equal to
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0%
9/4
0%
4/9
0%
2/3
0%
1
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0%
10 or 20
0%
5 or 10
0%
5 or 20
0%
5 or 15
0%
25
For the arithmetic progression a, (a + d), (a + 2d), (a + 3d),..., (a + 2nd), the mean deviation from mean is
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0%
2)
0%
0%
0%
If σ is standard deviation of a random variable
x
, then, the standard deviation of the random variable a
x
+ b, where a, b ϵ R is
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0%
aσ + b
0%
|a|σ
0%
|a|σ + b
0%
a2 σ
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0%
12
0%
9
0%
18
0%
15
If Z = aX + bY and r is the correlation coefficient between X and Y, then σ
2
Z
is equal to
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0%
2)
0%
0%
None of these
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