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STATISTICS & PROBABILITY SUNDAY 07/02/2021

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10th grade Mathematics Quiz sobre STATISTICS & PROBABILITY SUNDAY 07/02/2021, criado por Satish Thakur em 06-02-2021.
Satish Thakur
Quiz por Satish Thakur, atualizado more than 1 year ago
Satish Thakur
Criado por Satish Thakur quase 4 anos atrás
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Resumo de Recurso

Questão 1

Questão
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
Responda
  • 40
  • 48
  • 52
  • 50

Questão 2

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

Questão 3

Questão
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
Responda
  • 2.5
  • 3
  • 2
  • 1

Questão 4

Questão
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
Responda
  • 110
  • 80
  • 90
  • 100

Questão 5

Questão
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
Responda
  • 20
  • 18
  • 0
  • 17

Questão 6

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

Questão 7

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

Questão 8

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

Questão 9

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

Questão 10

Questão
The mean of the first 10 prime numbers is
Responda
  • 129
  • 12.9
  • 1.29
  • 11.9

Questão 11

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

Questão 12

Questão
The mean of all the factors of 24 is
Responda
  • 6.5
  • 24
  • 7.5
  • 7

Questão 13

Questão
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:
Responda
  • 50
  • 65
  • 70
  • 60

Questão 14

Questão
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
Responda
  • 32
  • 36
  • 23
  • 13

Questão 15

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

Questão 16

Questão
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
Responda
  • 17
  • 27
  • 20
  • 28

Questão 17

Questão
Upper class limit + Lower class limit / 2
Responda
  • None of these
  • Class mark
  • frequency
  • class size

Questão 18

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

Questão 19

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

Questão 20

Questão
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
Responda
  • 27
  • 20
  • 18
  • 17

Questão 21

Questão
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
Responda
  • 11/13
  • 11/26
  • 1/26
  • 4/13

Questão 22

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

Questão 23

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

Questão 24

Questão
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:
Responda
  • 7/10
  • 3/10
  • 1/10
  • 5/10

Questão 25

Questão
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
Responda
  • 2/3
  • 1/2
  • 1
  • 1/3

Questão 26

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

Questão 27

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

Questão 28

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

Questão 29

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

Questão 30

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

Questão 31

Questão
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
Responda
  • 1/10
  • 4/10
  • 3/10
  • 1/5

Questão 32

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

Questão 33

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

Questão 34

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

Questão 35

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

Questão 36

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

Questão 37

Questão
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
Responda
  • 4/49
  • 3/52
  • 3/49
  • 4/52

Questão 38

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

Questão 39

Questão
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?
Responda
  • 0
  • 1
  • 2
  • 3

Questão 40

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

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