R.d Sharma 2022 Mcqs Solutions for Class 9 Maths Chapter 22 Tabular Representation Of Statistical Data are provided here with simple step-by-step explanations. These solutions for Tabular Representation Of Statistical Data are extremely popular among class 9 students for Maths Tabular Representation Of Statistical Data Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the R.d Sharma 2022 Mcqs Book of class 9 Maths Chapter 22 are provided here for you for free. You will also love the ad-free experience on Meritnation’s R.d Sharma 2022 Mcqs Solutions. All R.d Sharma 2022 Mcqs Solutions for class 9 Maths are prepared by experts and are 100% accurate.
Page No 214:
Question 1:
Mark the correct alternative in each of the following:
Tally marks are used to find
(a) class intervals
(b) range
(c) frequency
(d) upper limits
Answer:
Tally marks are used to find the frequencies.
Hence, the correct choice is (c).
Page No 214:
Question 2:
The difference between the highest and lowest values of the observations is called
(a) frequency
(b) mean
(c) range
(d) class-intervals
Answer:
The difference between the highest and lowest values of the observations is called the range. Hence, the correct choice is (c).
Page No 214:
Question 3:
The difference between the upper and the lower class limits is called
(a) mid-points
(b) class size
(c) frequency
(d) mean
Answer:
The difference between the upper and the lower class limits is called the class size. Hence, the correct choice is (b).
Page No 214:
Question 4:
In the class intervals 10-20, 20-30, 20 is taken in
(a) the interval 10-20
(b) the interval 20-30
(c) both intervals 10-20, 20-30
(d) none of the intervals
Answer:
The given class intervals are 10-20, 20-30. In these class intervals the value 20 is lies in the class interval 20-30. Hence, the correct choice is (b).
Page No 214:
Question 5:
In a frequency distribution, the mid-value of a class is 15 and the class intervals is 4. The lower limit of the class is
(a) 10
(b) 12
(c) 13
(d) 14
Answer:
Let l and m respectively be the lower and upper limits of the class. Then the mid-value of the class is
and the class-size is.
Therefore, we have two equations
Subtracting the second equation from the first equation, we have
Hence, the lower limit of the class is 13. Thus, the correct choice is (c).
Page No 214:
Question 6:
The mid-value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are:
(a) 47 and 37
(b) 37 and 47
(c) 37.5 and 47.5
(d) 47.5 and 37.5
Answer:
Let l and m respectively be the lower and upper limits of the class. Then the mid-value of the class is and the class-size is.
Given that the mid-value of the class is 42 and the class-size is 10. Therefore, we have two equations
Adding the above two equations, we have
Substituting the value of m in the first equation, we have
Hence, the upper and lower limits of the class are 47 and 37 respectively. Thus, the correct choice is (a).
Page No 214:
Question 7:
The number of times a particular item occurs in a given data is called its
(a) variation
(b) frequency
(c) cumulative frequency
(d) class-size
Answer:
The number of times a particular item occurs in a given data is called the frequency of the item. Hence, the correct choice is (b).
Page No 214:
Question 8:
The width of each of nine classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class 10.6. Then the upper class boundary of the highest class is
(a) 35.6
(b) 33.1
(c) 30.6
(d) 28.1
Answer:
The number of classes is 9 and the uniform class size is 2.5. The lower limit of the lower class (first class) is 10.6. Therefore, the upper limit of the last class is
Hence, the correct choice is (b).
Page No 214:
Question 9:
The following marks were obtained by the students in a test:
81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79, 62
The range of the marks is
(a) 9
(b) 17
(c) 27
(d) 33
Answer:
The marks obtained by the students are 81, 72, 90, 90, 86, 85, 92, 70, 71, 83, 89, 95, 85, 79 and 62.
The highest and lowest marks are 95 and 62 respectively. Therefore, the range of marks is
Hence, the correct option is (d).
Page No 214:
Question 10:
Tallys are usually marked in a bunch of
(a) 3
(b) 4
(c) 5
(d) 6
Answer:
Tallies are usually marked in a bunch of 4. Hence, the correct option is (b).
Page No 214:
Question 11:
Let l be the lower class limit of a class-interval in a frequency distribution and m be the mid point of the class. Then, the upper class limit of the class is
(a) m+
(b) l+
(c) 2m − 1
(d) m − 2l
Answer:
Given that, the lower class limit of a class-interval is l and the mid-point of the class is m. Let u be the upper class limit of the class-interval. Therefore, we have
Thus the upper class limit of the class is. Hence, the correct choice is (c).
Page No 214:
Question 12:
If the range of 9, 13, 18, 21, 33, 46 and x is 39, then x =
(a) 47
(b) 50
(c) 7
(d) 8
Answer:
We find that: A = Max[9,13,18,21,33,46] = 46 and B = Min[9, 13, 18, 21, 33, 46] = 9.
But the range is 39.
Therefore, it is not possible for 46 to be the greatest and 9 to be the least values together. So x cannot be between 9 and 46 (both inclusive).
If x < 9, i.e. x is the least value then 46 is the greatest value.
∴ Range = 46 − x
⇒ 39 = 46 − x
⇒ x = 46 − 39
⇒ x = 7
If x > 46, i.e. x is the greatest value then 9 is the least value.
∴ Range = x − 9
⇒ 39 = x − 9
⇒ x = 9 + 39
⇒ x = 48
Hence, the correct answer is option (c).
View NCERT Solutions for all chapters of Class 9