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STATISTICS & PROBABILITY SUNDAY 07/02/2021

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10th grade Mathematics Quiz on STATISTICS & PROBABILITY SUNDAY 07/02/2021, created by Satish Thakur on 06/02/2021.
Satish Thakur
Quiz by Satish Thakur, updated more than 1 year ago
Satish Thakur
Created by Satish Thakur almost 4 years ago
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Resource summary

Question 1

Question
The percentage of marks obtained by 100 students in an examination are as follows: Marks 130-135 135-140 140-145 145-150 150-155 155-160 160-165 Frequency 14 16 18 23 18 8 3 The cumulative frequency of the class interval 140 - 145 is
Answer
  • 40
  • 48
  • 52
  • 50

Question 2

Question
In the given data if n = 44, l = 400, cf = 8, h = 100, f = 20, then its median is
Answer
  • 470
  • 460
  • 480
  • 400

Question 3

Question
The wickets taken by a bowler in 10 cricket matches are 2, 6, 4, 5, 0, 3, 1, 3, 2, 3. The median of the data is
Answer
  • 2.5
  • 3
  • 2
  • 1

Question 4

Question
For the following distribution Class 60-70 70-80 80-90 90-100 100-110 Frequency 13 10 15 8 11 the upper limit of the median class is
Answer
  • 110
  • 80
  • 90
  • 100

Question 5

Question
Consider the data Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 18 20 17 7 4 The difference of the upper limit of the median class and the lower limit of the modal class is
Answer
  • 20
  • 18
  • 0
  • 17

Question 6

Question
If ∑fi = 15, ∑fixi = 3p + 36 and the mean of the distribution is 3, then the value of p is
Answer
  • 4
  • 2
  • 5
  • 3

Question 7

Question
If ∑fixi = 1860 and ∑fi = 30, then the value of x¯¯¯ is
Answer
  • 62
  • 64
  • 63
  • 26

Question 8

Question
In the formula x¯¯¯=a+∑fidi / ∑fi, di represents
Answer
  • a - xi
  • 2a+xi
  • xi+a
  • di=xi-a

Question 9

Question
The mean of the data when ∑fidi = -500, ∑fi = 100 and a = 125 is
Answer
  • -500
  • 120
  • 125
  • 100

Question 10

Question
The mean of the first 10 prime numbers is
Answer
  • 129
  • 12.9
  • 1.29
  • 11.9

Question 11

Question
The mean of the data when ∑fidi = 435, ∑fi = 30 and a = 47.5 is
Answer
  • 47.5
  • 63
  • 30
  • 62

Question 12

Question
The mean of all the factors of 24 is
Answer
  • 6.5
  • 24
  • 7.5
  • 7

Question 13

Question
The arithmetic mean of a set of 40 values is 65. If each of the 40 values is increased by 5, what will be the mean of the set of new values:
Answer
  • 50
  • 65
  • 70
  • 60

Question 14

Question
The mean of 25 observations is 36. If the mean of the first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is
Answer
  • 32
  • 36
  • 23
  • 13

Question 15

Question
The arithmetic mean of 1, 2, 3, 4, ……………….., n is
Answer
  • n(n+1)/2
  • n+1/2
  • n/2
  • n-1/2

Question 16

Question
The arithmetic mean of the following data is 53. Class 0-20 20-40 40-60 60-80 80-100 Frequency 12 15 32 p 13 The value of p is
Answer
  • 17
  • 27
  • 20
  • 28

Question 17

Question
Upper class limit + Lower class limit / 2
Answer
  • None of these
  • Class mark
  • frequency
  • class size

Question 18

Question
In a data, if l = 40, h = 15, f1 = 7, f0 = 3​​​​​​​, f2 = 6​​​​​​​, then the mode is
Answer
  • 52
  • 72
  • 82
  • 62

Question 19

Question
For the following distribution Below 10 20 30 40 50 60 Frequency 3 12 27 57 75 80 the modal class is
Answer
  • 20-30
  • 40-50
  • 30-40
  • 50-60

Question 20

Question
The time in seconds, taken by 75 athletes to run a 500m race are tabulated as below: Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205 Frequency 4 5 18 20 17 7 4 The number of athletes who completed the race in less than 125 seconds is
Answer
  • 27
  • 20
  • 18
  • 17

Question 21

Question
A card is drawn at random from a pack of 52 cards. The probability that the card is drawn is neither an ace nor a king is
Answer
  • 11/13
  • 11/26
  • 1/26
  • 4/13

Question 22

Question
An unbiased die is thrown once. The probability of getting a prime number is
Answer
  • 1/3
  • 1/5
  • 1/2
  • 1/4

Question 23

Question
A die is thrown once. The probability of getting an even number and a multiple of 3 is
Answer
  • 1/2
  • 1/3
  • 1/6
  • 1/5

Question 24

Question
A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9, 9, 5. The probability that the selected number is their average is:
Answer
  • 7/10
  • 3/10
  • 1/10
  • 5/10

Question 25

Question
There are 8 defective items in a sample of 24 items. One item is drawn at random. The probability that it is a non-defective item is
Answer
  • 2/3
  • 1/2
  • 1
  • 1/3

Question 26

Question
If p is the probability of an event, then p satisfies
Answer
  • 0 ≤ p ≤ 1
  • 0 < p < 1
  • 0 ≤ p < 1
  • 0 < p ≤ 1

Question 27

Question
Two dice are thrown simultaneously. The probability of getting a doublet is
Answer
  • 1/6
  • 1/4
  • 2/3
  • 1/3

Question 28

Question
An unbiased die is thrown once. The probability of getting a prime or composite number is
Answer
  • 5/6
  • 1/6
  • 1
  • 1/2

Question 29

Question
The probability of getting 3 head or 3 tails in tossing a coin 3 times is
Answer
  • 1/2
  • 3/8
  • 1/4
  • 1/8

Question 30

Question
Two dice are rolled simultaneously. The probability that the sum of the numbers on the faces is 9 is
Answer
  • 4/9
  • 5/9
  • 2/9
  • 1/9

Question 31

Question
A ticket is drawn from a bag containing 100 tickets numbered from 1 to 100. The probability of getting a ticket with a number divisible by 10 is
Answer
  • 1/10
  • 4/10
  • 3/10
  • 1/5

Question 32

Question
A number is selected at random from 1 to 75. The probability that it is a perfect square is
Answer
  • 4/75
  • 8/75
  • 6/75
  • 10/75

Question 33

Question
The probability that it will rain on a particular day is 0.76. The probability that it will not rain on that day is
Answer
  • 0
  • 1
  • 0.76
  • 0.24

Question 34

Question
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a red queen is
Answer
  • 1/26
  • 3/26
  • 1/13
  • 1/2

Question 35

Question
Ram and Shyam are friends. The probability that both will have the birthday on the same day is
Answer
  • 1/365
  • 2/365
  • 364/365
  • 4/365

Question 36

Question
A letter of English alphabets is chosen at random. The probability that the letter chosen is a consonant is
Answer
  • 2/26
  • 21/26
  • 1/26
  • 5/26

Question 37

Question
The king, queen and jack of clubs are removed from a deck of 52 cards and the remaining cards are shuffled. A card is drawn from the remaining cards. The probability of getting a king is
Answer
  • 4/49
  • 3/52
  • 3/49
  • 4/52

Question 38

Question
Which of the following cannot be the probability of an event:
Answer
  • 2/3
  • -1.5
  • 15%
  • 0.7

Question 39

Question
Cards each marked with one of the numbers 4,5,6,…20 are placed in a box and mixed thoroughly. One card is drawn at random from the box, what is the probability of getting an even prime number?
Answer
  • 0
  • 1
  • 2
  • 3

Question 40

Question
What is the probability of getting a number less than 7 in a single throw of a die?
Answer
  • 0
  • 1/2
  • 1
  • None of these
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