Satish Thakur
Quiz by , created more than 1 year ago

10th grade Mathematics Quiz on STATISTICS & PROBABILITY SUNDAY 07/02/2021, created by Satish Thakur on 06/02/2021.

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Satish Thakur
Created by Satish Thakur about 3 years ago
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STATISTICS & PROBABILITY SUNDAY 07/02/2021

Question 1 of 40

1

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

Select one of the following:

  • 40

  • 48

  • 52

  • 50

Explanation

Question 2 of 40

1

In the given data if n = 44, l = 400, cf = 8, h = 100, f = 20, then its median is

Select one of the following:

  • 470

  • 460

  • 480

  • 400

Explanation

Question 3 of 40

1

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

Select one of the following:

  • 2.5

  • 3

  • 2

  • 1

Explanation

Question 4 of 40

1

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

Select one of the following:

  • 110

  • 80

  • 90

  • 100

Explanation

Question 5 of 40

1

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

Select one of the following:

  • 20

  • 18

  • 0

  • 17

Explanation

Question 6 of 40

1

If ∑fi = 15, ∑fixi = 3p + 36 and the mean of the distribution is 3, then the value of p is

Select one of the following:

  • 4

  • 2

  • 5

  • 3

Explanation

Question 7 of 40

1

If ∑fixi = 1860 and ∑fi = 30, then the value of x¯¯¯ is

Select one of the following:

  • 62

  • 64

  • 63

  • 26

Explanation

Question 8 of 40

1

In the formula x¯¯¯=a+∑fidi / ∑fi, di represents

Select one of the following:

  • a - xi

  • 2a+xi

  • xi+a

  • di=xi-a

Explanation

Question 9 of 40

1

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

Select one of the following:

  • -500

  • 120

  • 125

  • 100

Explanation

Question 10 of 40

1

The mean of the first 10 prime numbers is

Select one of the following:

  • 129

  • 12.9

  • 1.29

  • 11.9

Explanation

Question 11 of 40

1

The mean of the data when ∑fidi = 435, ∑fi = 30 and a = 47.5 is

Select one of the following:

  • 47.5

  • 63

  • 30

  • 62

Explanation

Question 12 of 40

1

The mean of all the factors of 24 is

Select one of the following:

  • 6.5

  • 24

  • 7.5

  • 7

Explanation

Question 13 of 40

1

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:

Select one of the following:

  • 50

  • 65

  • 70

  • 60

Explanation

Question 14 of 40

1

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

Select one of the following:

  • 32

  • 36

  • 23

  • 13

Explanation

Question 15 of 40

1

The arithmetic mean of 1, 2, 3, 4, ……………….., n is

Select one of the following:

  • n(n+1)/2

  • n+1/2

  • n/2

  • n-1/2

Explanation

Question 16 of 40

1

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

Select one of the following:

  • 17

  • 27

  • 20

  • 28

Explanation

Question 17 of 40

1

Upper class limit + Lower class limit / 2

Select one of the following:

  • None of these

  • Class mark

  • frequency

  • class size

Explanation

Question 18 of 40

1

In a data, if l = 40, h = 15, f1 = 7, f0 = 3​​​​​​​, f2 = 6​​​​​​​, then the mode is

Select one of the following:

  • 52

  • 72

  • 82

  • 62

Explanation

Question 19 of 40

1

For the following distribution

Below 10 20 30 40 50 60
Frequency 3 12 27 57 75 80
the modal class is

Select one of the following:

  • 20-30

  • 40-50

  • 30-40

  • 50-60

Explanation

Question 20 of 40

1

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

Select one of the following:

  • 27

  • 20

  • 18

  • 17

Explanation

Question 21 of 40

1

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

Select one of the following:

  • 11/13

  • 11/26

  • 1/26

  • 4/13

Explanation

Question 22 of 40

1

An unbiased die is thrown once. The probability of getting a prime number is

Select one of the following:

  • 1/3

  • 1/5

  • 1/2

  • 1/4

Explanation

Question 23 of 40

1

A die is thrown once. The probability of getting an even number and a multiple of 3 is

Select one of the following:

  • 1/2

  • 1/3

  • 1/6

  • 1/5

Explanation

Question 24 of 40

1

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:

Select one of the following:

  • 7/10

  • 3/10

  • 1/10

  • 5/10

Explanation

Question 25 of 40

1

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

Select one of the following:

  • 2/3

  • 1/2

  • 1

  • 1/3

Explanation

Question 26 of 40

1

If p is the probability of an event, then p satisfies

Select one of the following:

  • 0 ≤ p ≤ 1

  • 0 < p < 1

  • 0 ≤ p < 1

  • 0 < p ≤ 1

Explanation

Question 27 of 40

1

Two dice are thrown simultaneously. The probability of getting a doublet is

Select one of the following:

  • 1/6

  • 1/4

  • 2/3

  • 1/3

Explanation

Question 28 of 40

1

An unbiased die is thrown once. The probability of getting a prime or composite number is

Select one of the following:

  • 5/6

  • 1/6

  • 1

  • 1/2

Explanation

Question 29 of 40

1

The probability of getting 3 head or 3 tails in tossing a coin 3 times is

Select one of the following:

  • 1/2

  • 3/8

  • 1/4

  • 1/8

Explanation

Question 30 of 40

1

Two dice are rolled simultaneously. The probability that the sum of the numbers on the faces is 9 is

Select one of the following:

  • 4/9

  • 5/9

  • 2/9

  • 1/9

Explanation

Question 31 of 40

1

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

Select one of the following:

  • 1/10

  • 4/10

  • 3/10

  • 1/5

Explanation

Question 32 of 40

1

A number is selected at random from 1 to 75. The probability that it is a perfect square is

Select one of the following:

  • 4/75

  • 8/75

  • 6/75

  • 10/75

Explanation

Question 33 of 40

1

The probability that it will rain on a particular day is 0.76. The probability that it will not rain on that day is

Select one of the following:

  • 0

  • 1

  • 0.76

  • 0.24

Explanation

Question 34 of 40

1

From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a red queen is

Select one of the following:

  • 1/26

  • 3/26

  • 1/13

  • 1/2

Explanation

Question 35 of 40

1

Ram and Shyam are friends. The probability that both will have the birthday on the same day is

Select one of the following:

  • 1/365

  • 2/365

  • 364/365

  • 4/365

Explanation

Question 36 of 40

1

A letter of English alphabets is chosen at random. The probability that the letter chosen is a consonant is

Select one of the following:

  • 2/26

  • 21/26

  • 1/26

  • 5/26

Explanation

Question 37 of 40

1

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

Select one of the following:

  • 4/49

  • 3/52

  • 3/49

  • 4/52

Explanation

Question 38 of 40

1

Which of the following cannot be the probability of an event:

Select one or more of the following:

  • 2/3

  • -1.5

  • 15%

  • 0.7

Explanation

Question 39 of 40

1

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?

Select one of the following:

  • 0

  • 1

  • 2

  • 3

Explanation

Question 40 of 40

1

What is the probability of getting a number less than 7 in a single throw of a die?

Select one of the following:

  • 0

  • 1/2

  • 1

  • None of these

Explanation