Download App

Statistics and Probability MATHS - Statistics and Probability

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 72 questions in this chapter.

Question types

Statistics and Probability question types

72 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

72
Questions
6
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.

Q 1M.C.Q1 Mark
Write the correct answer in the following:
In a medical examination of students of a class, the following blood groups are recorded:
Blood group
A
AB
B
O
Number of Student
10
13
12
5
A student is selected at random from the class. The probability that he/ she has blood group B, is:
  1. $\frac{1}{4}$
  2. $\frac{13}{40}$
  3. $\frac{3}{10}$
  4. $\frac{1}{8}$
View full solution →
Q 2M.C.Q1 Mark
Write the correct answer in the following: If $\bar{\text{x}}$ represents the mean of n observations $x_1,_{ }x_2, ... x_n,$ then value of $\sum\limits_{\text{i}=1}^\text {b} \text{x}_\text{i}-\bar{\text{x}}$ is:
  • A
    $-1$
  • ✓
    $0$
  • C
    $1$
  • D
    $n - 1$

Answer: B.

View full solution →
Q 3M.C.Q1 Mark
Write the correct answer in the following:
A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data:
268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406, 292, 354, 278, 210, 240, 330, 316, 406, 215, 258, 236.
The frequency of the class 310-330 is:
  1. 4
  2. 5
  3. 6
  4. 7
View full solution →
Q 4M.C.Q1 Mark
Write the correct answer in the following:
The range of the data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20 is:
  1. 10
  2. 15
  3. 18
  4. 26
View full solution →
Q 5M.C.Q1 Mark
Write the correct answer in the following:
To draw a histogram to represent the following frequency distribution:
Class intervai
5-10
10-15
15-25
25-45
45-75
Frequency
6
12
10
8
15
The adjusted frequency for the class 25-45 is:
  1. 6
  2. 5
  3. 3
  4. 2
View full solution →
Q 61 Marks Question1 Mark
Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.
View full solution →
Q 81 Marks Question1 Mark
As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be $\frac{1}{2}.$ Is it correct? If not, write the correct one.
View full solution →
Q 112 Marks Questions2 Marks
30 children were asked about the number of hours they watched TV programmes last week. The results are recorded as under:
Number of hours 0-5 5-10 10-15 15-20
Frequency 8 16 4 2
Can we say that the number of children who watched TV for 10 or more hours a week is 22? Justify your answer.
View full solution →
Q 132 Marks Questions2 Marks
In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded:
46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44
Which ‘average’ will be a good representative of the above data and why?
View full solution →
Q 142 Marks Questions2 Marks
The class marks of a continuous distribution are:
1.04, 1.14, 1.24, 1.34, 1.44, 1.54 and 1.64
Is it correct to say that the last interval will be 1.55 - 1.73? Justify your answer.
View full solution →
Q 152 Marks Questions2 Marks
The points scored by a basket ball team in a series of matches are as follows:
17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28.
Find the median and mode for the data.
View full solution →
Q 163 Marks Question3 Marks
Bulbs are packed in cartons each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs and the results are given in the following table:
Number of defective bulbs
 $0$ $1$ $2$ $3$ $4$ $5$ $6$
more than $6$
Frequency
 $400$ $180$ $48$ $41$ $18$ $8$ $3$ $2$
One carton was selected at random. What is the probability that it has:
  1. No defective bulb?
  2. Defective bulbs from $2$ to $6$?
  3. Defective bulbs less than $4$?
View full solution →
Q 173 Marks Question3 Marks
A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information so obtained is listed in the following table:
Monthly income (in Rs.) Number of Televisions/ household
  0 1 2 Above 2
<10000
10000-14999
15000-19999
20000-24999
25000 and above		 20
10
0
0
0		 80
240
380
520
1100		 10
60
120
370
760		 0
0
30
80
220
Find the probability:
  1. Of a household earning Rs. 10000 - Rs 14999 per year and having exactly one television.
  2. Of a household earning Rs. 25000 and more per year and owning 2 televisions.
  3. Of a household not having any television.
View full solution →
Q 183 Marks Question3 Marks
The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u from a page of a book:
Letter a e i o r t u
Frequency 75 125 80 70 80 95 75
Represent the information above by a bar graph.
View full solution →
Q 203 Marks Question3 Marks
The scores (out of 100) obtained by 33 students in a mathematics test are as follows:
69, 48, 84, 58, 48, 73, 83, 48, 66, 58, 84000 66, 64, 71, 64, 66, 69, 66, 83, 66, 69, 71 81, 71, 73, 69, 66, 66, 64, 58, 64, 69, 69
Represent this data in the form of a frequency distribution.
View full solution →
Q 215 Marks Questions5 Marks
Following table gives the distribution of students of sections A and B of a class according to the marks obtained by them.
Section A
Section B
Marks
Frequency
Marks
Frequency
0-15
15-30
30-45
45-60
60-75
75-90
5
12
28
30
35
13
0-15
15-30
30-45
45-60
60-75
75-90
3
16
25
27
40
10
Represent the marks of the students of both the sections on the same graph by two frequency polygons.What do you observe?
View full solution →
Q 224 Marks Questions4 Marks
The mean of the following distribution is $50.$
$X$
 $f$
$10$
$30$
$50$
$70$
$90$
$17$
$5a + 3$
$32$
$7a - 11$
$19$
Find the value of a and hence the frequencies of $30$ and $70.$
View full solution →
Q 234 Marks Questions4 Marks
A recent survey found that the ages of workers in a factory is distributed as follows:
Age (in years) $20-39$ $30-39$ $40-49$ $50-59$ $60$ and above
Number of workers $38$ $27$ $86$ $46$ $3$
If a person is selected at random, find the probability that the person is:
  1. $40$ years or more.
  2. Under $40$ years.
  3. Having age from $30$ to $39$ years.
  4. Under $60$ but over $39$ years.
View full solution →
Q 244 Marks Questions4 Marks
The expenditure of a family on different heads in a month is given below:
Head Food Education Clothing House Rent Others Savings
Expenditure(in Rs.) 4000 2500 1000 3500 2500 1500
Draw a bar graph to represent the data above.
View full solution →
Q 254 Marks Questions4 Marks
The mean marks $($out of $100)$ of boys and girls in an examination are $70$ and $73$, respectively. If the mean marks of all the students in that examination is $71,$ find the ratio of the number of boys to the number of girls.
View full solution →
Q 264 Marks Questions4 Marks
Prepare a continuous grouped frequency distribution from the following data:
Mid-point
Frequency
5
15
25
35
45
4
8
13
12
6
Also find the size of class intervals.
View full solution →
Browse all question groups ↑

Generate a Statistics and Probability paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll MATHS chapters