Mathematics
Assertion (A) : Classes of the form : 1-10, 11-20, 21-30 etc. are said to be in inclusive form.
Reason (R) : A frequency distribution in which each upper limit as well as lower limit is included is called an inclusive form.
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false
Answer
Given class intervals 1-10, 11-20, 21-30 etc shows that gap between the upper limit of one class (10) and the lower limit of the next (11).
Since gap shows that these classes don't overlap, thus they are in inclusive form.
∴ Assertion (A) is true.
We know that,
A frequency distribution in which each upper limit as well as lower limit is included is known as inclusive form.
∴ Reason (R) is true.
Both Assertion and Reason are True.
Hence, option 3 is the correct option.
Related Questions
Case Study
To maintain the health report card in a hospital, the weights of new born babies are recorded on regular basis.
During a week, the weights (in kg) of new born were recorded as below :
2.7, 2.6, 3.1, 2.2, 2.4, 2.9, 3.0, 2.5, 2.8, 2.5, 2.8, 2.9, 2.2, 2.9, 2.7, 2.8, 2.3, 2.8, 2.1, 2.2
Based on the above information, answer the following questions:
Range of the data is :
(a) 1 kg
(b) 0.4 kg
(c) 0.5 kg
(d) 1.1 kgHow many babies are born during the week?
(a) 10
(b) 16
(c) 17
(d) 20How many babies weigh less than 2.4 kg?
(a) 7
(b) 6
(c) 5
(d) 4How many babies weigh more than 2.7 kg?
(a) 10
(b) 9
(c) 8
(d) 7How many babies weigh 2.8 kg?
(a) 4
(b) 5
(c) 6
(d) 3
Case Study
The following data gives the weights (in grams) of some marbles picked up randomly from 3 boxes. The data was presented in the tabular form as below:
Weight (in g) No. of Marbles 50-55 5 55-60 7 60-65 8 65-70 6 70-75 2 75-80 1 80-85 1 Based on the above information, answer the following questions:
Class size of the given distribution is :
(a) 5
(b) 10
(c) 50
(d) 85Class mark of the 3rd class is :
(a) 60
(b) 65
(c) 125
(d) 62.5The number of marbles whose weight is more than or equal to 75 g is :
(a) 0
(b) 1
(c) 2
(d) 28The number of marbles whose weight is less than 70 g is :
(a) 26
(b) 28
(c) 4
(d) 2The class boundaries of the class 7th class interval are :
(a) 80, 85
(b) 80.5, 85.5
(c) 79.5, 85.5
(d) 80, 85.5
Age of teachers of a school varies from 24 years to 72 years. Rishabh has to make a grouped frequency distribution table of age of teachers. Which among the following class intervals of age will be most appropriate to make meaningful conclusion in less time and effort?
24 - 26, 26 - 28, 28 - 30, and so on
24 - 30, 30 - 36, 36 - 42, and so on
24 - 48, 48 - 72
none of these