Question types

Statistics and Probability question types

96 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

96
Questions
5
Question groups
5
Question types
Sample Questions

Statistics and Probability questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Choose the correct answer from the given four options:
A girl calculates that the probability of her winning the first prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought?
  • A
    40
  • 240
  • C
    480
  • D
    750

Answer: B.

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Choose the correct answer from the given four options:
Consider the following distribution:
Marks obtained
Number of students
More than or equal to 0
63
More than or equal to 10
58
More than or equal to 20
55
More than or equal to 30
51
More than or equal to 40
48
More than or equal to 50
42
the frequency of the class 30-40 is:
  • A
    3
  • B
    4
  • 48
  • D
    51

Answer: C.

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Choose the correct answer from the given four options:
In the formula $\bar{\text{x}}=\text{a}+\frac{\sum\text{f}_\text{i}\text{d}_\text{i}}{\sum\text{f}_\text{i}},$ for finding the mean of grouped data di’s are deviations from a of:
  • A
    Lower limits of the classes.
  • B
    Upper limits of the classes.
  • Mid points of the classes.
  • D
    Frequencies of the class marks.

Answer: C.

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Choose the correct answer from the given four options:
An event is very unlikely to happen. Its probability is closest to:
  • 0.0001
  • B
    0.001
  • C
    0.01
  • D
    0.1

Answer: A.

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Choose the correct answer from the given four options:
In the formula $\bar{\text{x}}=\text{a}+\text{h}\Big(\frac{\sum\text{f}_\text{x}\text{u}_\text{i}}{\sum\text{f}_\text{i}}\Big),$ for finding the mean of grouped frequency distribution, $u_i=$
  • A
    $\frac{\text{x}_\text{i}+\text{a}}{\text{h}}$
  • B
    $\text{h}(\text{x}_\text{i}-\text{a})$
  • $\frac{\text{x}_\text{i}-\text{a}}{\text{h}}$
  • D
    $\frac{\text{a}+\text{x}_\text{i}}{\text{h}}$

Answer: C.

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The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.
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When we toss a coin, there are two possible outcomes-Head or Tail. Therefore, the probability of each outcome is $\frac{1}{2}.$ Justify your answer.
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Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs. 5 each. Box B contains 50 slips of which 45 are marked Re 1 each and others are marked Rs. 13 each. Slips of both boxes are poured into a third box and resuffled. A slip is drawn at random. What is the probability that it is marked other than Re 1?
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Q 133 Marks Question3 Marks
I toss three coins together. The possible outcomes are no heads, $1$ head, $2$ heads and $3$ heads. So, I say that probability of no heads is $\frac{1}{4}.$ What is wrong with this conclusion?
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Q 143 Marks Question3 Marks
Find the mean marks of students for the following distribution:
Marks
Number of students
0 and above
10 and above
20 and above
30 and above
40 and above
50 and above
60 and above
70 and above
80 and above
90 and above
100 and above
80
77
72
65
55
43
28
16
10
8
0
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Q 173 Marks Question3 Marks
A carton of $24$ bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probability that the bulb is not defective? If the bulb selected is defective and it is not replaced and a second bulb is selected at random from the rest, what is the probability that the second bulb is defective?
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The weights (in kg) of 50 wrestlers are recorded in the following table:
Weight (in kg)
100-110
110-120
120-130
130-140
140-150
Number of wrestlers
4
14
21
8
3
Find the mean weight of the wrestlers.
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The monthly income of 100 families are given as below:
Income (in Rs.)
Number of families
0-5000
5000-10000
10000-15000
15000-20000
20000-25000
25000-30000
30000-35000
35000-40000
8
26
41
16
3
3
2
1
Calculate the modal income.
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The annual rainfall record of a city for 66 days is given in the following table.
Rainfall (in cm)
0-10
10-20
20-30
30-40
40-50
50-60
Number of days
22
10
8
15
5
6
Calculate the median rainfall using ogives (of more than type and of less than type)
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The weights of tea in 70 packets are shown in the following table:
Weight (in gram)
Number of packets
200-201
201-202
202-203
203-204
204-205
205-206
13
27
18
10
1
1
Find the mean weight of packets.
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