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Statistics Mock Test 7
Exam Duration:
00:35:00
Statistics Mock Test 7
: Question
1
of 39
If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared deviations from the x will be______________?
1 Mark(s)
Your Answer:
8
8
10
10
6
6
12
12
The perimeter of a square with side \$8$ cm is:
1 Mark(s)
Your Answer:
28 cm
28 cm
30 cm
30 cm
32 cm
32 cm
36 cm
36 cm
The kind of triangle which has two equal sides is:
1 Mark(s)
Your Answer:
exterior angle
exterior angle
equilateral triangle
equilateral triangle
isosceles triangle
isosceles triangle
scalene triangle
scalene triangle
Sampling Error decrease by _______ the sample size?
1 Mark(s)
Your Answer:
Increase
Increase
Decrease
Decrease
Sampling
Sampling
Population
Population
Arslan and Bilal have some marbles with them. Arslan told Bilal “if you give me ‘x’ marbles, both of us will have equal number of marbles”. Bilal then told Arslan “if you give me twice as many marbles, I will have 30 more marbles than you would”. Find ‘x’?
1 Mark(s)
Your Answer:
4
4
5
5
6
6
8
8
None of these
None of these
The areas of a parallelogram and a triangle are equal and they lie on the same base. If the altitude of the parallelogram is 2 cm, then the altitude of triangle is
1 Mark(s)
Your Answer:
A) 4 cm
A) 4 cm
B) 1 cm
B) 1 cm
C) 2 cm
C) 2 cm
D) 3 cm
D) 3 cm
In a parallelogram ABCD, ZA and ZBare in the ratio 2 : 3. Find the ZA.
1 Mark(s)
Your Answer:
A) 30°
A) 30°
B) 72°
B) 72°
C) 60°
C) 60°
D) 90°
D) 90°
What is $32 \times 8$?
1 Mark(s)
Your Answer:
248
248
256
256
264
264
272
272
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
1 Mark(s)
Your Answer:
1:2
1:2
3:4
3:4
2:5
2:5
3:7
3:7
The Coefficient of Skewness is always zero for ____________ distribution?
1 Mark(s)
Your Answer:
Symmetrical
Symmetrical
Skewed
Skewed
All of above
All of above
None of these
None of these
The milliliters in 'z' liters of orange juice will be:
1 Mark(s)
Your Answer:
1000z
1000z
2000z
2000z
100z
100z
200z
200z
The semi-perimeter of a cyclic quadrilateral with sides 9 cm, 11 cm, 12 cm and 10 cm is
1 Mark(s)
Your Answer:
A) 20 cm
A) 20 cm
B) 21 cm
B) 21 cm
C) 10.5 cm
C) 10.5 cm
D) 22 cm
D) 22 cm
What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
1 Mark(s)
Your Answer:
1/21
1/21
4/7
4/7
2/7
2/7
5/7
5/7
How many different ways are possible to odd 1’s and 2’s to obtain a sum of 10?
1 Mark(s)
Your Answer:
A) 55
A) 55
B) 89
B) 89
C) 34
C) 34
D) 21
D) 21
The collection of numerical facts is called_________?
1 Mark(s)
Your Answer:
Data
Data
Datum
Datum
Statistic
Statistic
Raw
Raw
The difference between simple and compound interest (compounded-annually) on a sum of money for 2 years at 10% per annum is Rs 65. The sum is_________?
1 Mark(s)
Your Answer:
Rs 6500
Rs 6500
Rs 6565
Rs 6565
Rs 65065
Rs 65065
Rs 65650
Rs 65650
Assertion (A) In the pattern 2, 4, 6, 8,10, each number is 2 more than the previous number. Reason (R) This pattern represents an arithmetic sequence where the common difference is constant.
1 Mark(s)
Your Answer:
A) Both A and R are true and R is the correct explanation of A.
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
B) Both A and R are true but R is not the correct explanation of A.
C) A is true but R is false.
C) A is true but R is false.
D) A is false but R is true. Fill in the blanks: 1. Smallest 4-digit number formed by the digits 3, 0, 4,1 is ____ Answer: 1034 2. Greatest 4-digit number formed by the digits 0, 8,1, 9 is ____ Answer: 9810 3. I am the greatest number made from digit 7,1, 8, 3. Answer: 8731 4. I am the smallest number made from digit 3, 9, 0, 1. ____ Answer: 1039 5. Smallest 4-digit even number is ____ Answer: 1000 6. Largest 4-digit even number is ____ Answer: 9998 7. In the number 4321, the digit 3 is ____________ in the place. Answer: hundreds 8. The magic number of Kaprekar is ____________. Answer: 6174 9. Total number of two-digit numbers are ____________. Answer: 90 10. The digits of number 950 adds upto ____________. Answer: 14 11. The number 323 is a ____________ number. Answer: Palindrome 12. Total number of five digit numbers are ____________. Answer: 90000 13. The difference between 8000 and 2345 is ____________ Answer: 5655 14. When you add 1000 to 4567, the result is ____________. Answer: 5567 15. If you reverse the digits of the number 2332, then you still get ____________. Answer: 2332 State True/False: 1. The largest if-digit telephone number that can be formed by using digits 5, 3, .4, 7, 0, 8 only once is 875403. Answer: False. The largest six-digit telephone number that can be formed by using digits 5,3,4,7,0,8 only once is 875430. 2. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760. Answer: True. 3. The numbers 4578, 4587, 5478, 5487 are in descending order. Answer: False. In the question, the arrangement of the numbers in ascending order. Descending order of the given number = 5487, 5478, 4587,4578. 4. 8439 is an odd number. Answer: True 5. 2787 is an even number. Answer: False 6. The Kaprekar constant is 7164. Answer: False 7. The number 1221 is a palindrome number. Answer: True 8. The difference of 98500 and 26580 gives a four digit number. Answer: False 9. The sum of 56560 and 3228 gives a five digit number. Answer: True 10. If you reverse the digits of the number 6776, you get 6776. Answer: True 11. Total number of four digit numbers are 900. Answer: False 12. The sum of digits of 672 and 564 is different. Answer: False Match the Following
D) A is false but R is true. Fill in the blanks: 1. Smallest 4-digit number formed by the digits 3, 0, 4,1 is ____ Answer: 1034 2. Greatest 4-digit number formed by the digits 0, 8,1, 9 is ____ Answer: 9810 3. I am the greatest number made from digit 7,1, 8, 3. Answer: 8731 4. I am the smallest number made from digit 3, 9, 0, 1. ____ Answer: 1039 5. Smallest 4-digit even number is ____ Answer: 1000 6. Largest 4-digit even number is ____ Answer: 9998 7. In the number 4321, the digit 3 is ____________ in the place. Answer: hundreds 8. The magic number of Kaprekar is ____________. Answer: 6174 9. Total number of two-digit numbers are ____________. Answer: 90 10. The digits of number 950 adds upto ____________. Answer: 14 11. The number 323 is a ____________ number. Answer: Palindrome 12. Total number of five digit numbers are ____________. Answer: 90000 13. The difference between 8000 and 2345 is ____________ Answer: 5655 14. When you add 1000 to 4567, the result is ____________. Answer: 5567 15. If you reverse the digits of the number 2332, then you still get ____________. Answer: 2332 State True/False: 1. The largest if-digit telephone number that can be formed by using digits 5, 3, .4, 7, 0, 8 only once is 875403. Answer: False. The largest six-digit telephone number that can be formed by using digits 5,3,4,7,0,8 only once is 875430. 2. The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9760. Answer: True. 3. The numbers 4578, 4587, 5478, 5487 are in descending order. Answer: False. In the question, the arrangement of the numbers in ascending order. Descending order of the given number = 5487, 5478, 4587,4578. 4. 8439 is an odd number. Answer: True 5. 2787 is an even number. Answer: False 6. The Kaprekar constant is 7164. Answer: False 7. The number 1221 is a palindrome number. Answer: True 8. The difference of 98500 and 26580 gives a four digit number. Answer: False 9. The sum of 56560 and 3228 gives a five digit number. Answer: True 10. If you reverse the digits of the number 6776, you get 6776. Answer: True 11. Total number of four digit numbers are 900. Answer: False 12. The sum of digits of 672 and 564 is different. Answer: False Match the Following
116 mm = …… cm
1 Mark(s)
Your Answer:
A) 11.6
A) 11.6
B) 1.16
B) 1.16
C) 10.016
C) 10.016
D) 0.116 6
D) 0.116 6
Find the value of $\frac{3^5 \times 9^2}{27^2}$
1 Mark(s)
Your Answer:
27
27
81
81
9
9
243
243
A line segment has two end points and a line has _____ end points.
1 Mark(s)
Your Answer:
A) 1
A) 1
B) 2
B) 2
C) Zero
C) Zero
D) None of these
D) None of these
The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
1 Mark(s)
Your Answer:
Rs.32
Rs.32
Rs.28
Rs.28
Rs.36
Rs.36
Rs.25
Rs.25
None of these
None of these
Using properties of determinants, \(\left|\begin{array}{ccc} 1 & a & a^{2}-b c \\ 1 & b & b^{2}-c a \\ 1 & c & c^{2}-a b \end{array}\right|=\)
1 Mark(s)
Your Answer:
A) 0
A) 0
B) 1
B) 1
C) 2
C) 2
D) 3
D) 3
A statement of Assertion (A) is followed by a statement of Reason (R). Assertion (A): The perimeter of an equilateral triangle, if side of the triangle is m is 4m. Reason (R): In an equilateral triangle, each side length is equal. Choose the correct option as:
1 Mark(s)
Your Answer:
A) Both assertion and reason are true and the reason is the correct explanation of assertion.
A) Both assertion and reason are true and the reason is the correct explanation of assertion.
B) Both assertion and reason are true but the reason is not the correct explanation of the assertion.
B) Both assertion and reason are true but the reason is not the correct explanation of the assertion.
C) Assertion is true and the reason is false.
C) Assertion is true and the reason is false.
D) Assertion is false and the reason is true.
D) Assertion is false and the reason is true.
All Index numbers are not suitable for all _________________?
1 Mark(s)
Your Answer:
Kind
Kind
Chain relative
Chain relative
Purpose
Purpose
Price
Price
Confidence interval is a measure of?
1 Mark(s)
Your Answer:
Accuracy
Accuracy
Precision
Precision
Error
Error
All of above
All of above
Another name of explanatory variable is_________?
1 Mark(s)
Your Answer:
Independent
Independent
Predictor
Predictor
Controlled
Controlled
All of above
All of above
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
1 Mark(s)
Your Answer:
Rs.420.20
Rs.420.20
Rs.319.06
Rs.319.06
Rs.306.04
Rs.306.04
Rs.294.75
Rs.294.75
In a college election, a candidate secured 62 % of the votes and is elected by a majority of 144 votes. The total number of votes polled is:________?
1 Mark(s)
Your Answer:
600
600
800
800
925
925
1200
1200
Rs. 800 at 5 % Per annum compound interest will amount to Rs. 882 in________?
1 Mark(s)
Your Answer:
1 Year
1 Year
2 years
2 years
3 Years
3 Years
4 Years
4 Years
A rectangular courtyard 3.78min long and 5.25m broad is to be paved exactly with square tiles all of the same size. The minimum number of such tiles is_________?
1 Mark(s)
Your Answer:
430
430
440
440
450
450
460
460
The relation showing between whole and its components used chart is said to be ___________________?
1 Mark(s)
Your Answer:
Component bar chart
Component bar chart
Multiple bar chart
Multiple bar chart
Pie Chart
Pie Chart
Simple Bar chart
Simple Bar chart
The value of 537 × 11 is
1 Mark(s)
Your Answer:
A) 5907
A) 5907
B) 6066
B) 6066
C) 5832
C) 5832
D) 5708
D) 5708
A set of jointly sufficient statistic is defined to be minimal sufficient if and only if_______________?
1 Mark(s)
Your Answer:
It is a function of some other set of sufficient statistics.
It is a function of some other set of sufficient statistics.
It is a function of every other set of sufficient
It is a function of every other set of sufficient
It is a function of any sufficient statistics in the set.
It is a function of any sufficient statistics in the set.
It is not a function of every other set of sufficient statistics.
It is not a function of every other set of sufficient statistics.
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
1 Mark(s)
Your Answer:
Rs.10000
Rs.10000
Rs.12800
Rs.12800
Rs.6000
Rs.6000
Rs.8000
Rs.8000
A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?
1 Mark(s)
Your Answer:
1 : 2
1 : 2
3 : 1
3 : 1
2 : 1
2 : 1
1 : 3
1 : 3
E(x1 – x2)= ___________________?
1 Mark(s)
Your Answer:
ux – x2
ux – x2
u1 – u2
u1 – u2
6x – x2
6x – x2
6×2 – x2
6×2 – x2
95% confidence limits u are ________________?
1 Mark(s)
Your Answer:
x±1.65 6/√n
x±1.65 6/√n
u±1.95 S/√n
u±1.95 S/√n
x±1.96 6/√n
x±1.96 6/√n
±1.96 6/√n
±1.96 6/√n
Assertion (A) – is obtained when we divide a whole into seven equal parts and take two part. Reason (R) A fraction is a number representing part of a whole.
1 Mark(s)
Your Answer:
A) Both A and R are true and R is the correct explanation of A.
A) Both A and R are true and R is the correct explanation of A.
B) Both A and R are true and R is not the correct explanation of A.
B) Both A and R are true and R is not the correct explanation of A.
C) A is true but R is false.
C) A is true but R is false.
D) A is false but R is true.
D) A is false but R is true.
The sum of squares of deviation is least if measure from__________?
1 Mark(s)
Your Answer:
Mean
Mean
Mode
Mode
Median
Median
Variance
Variance
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