Class Interval

Q.

Temperature in Fahrenheit is given as,

$\frac{C}{5}=\frac{F-32}{9}$

Where C and F are temperatures in Celsius and Fahrenheit respectively.

What is the temperature in Fahrenheit if it is 45 degrees Celsius?

1. 95

2. 77

3. 113

4. 104

Q.

The difference between the upper limit and the lower class limits is called

1. mid-points

2. mean

3. frequency

4. class size

Q.

The class size of a distribution is 25 and the first class- interval is 200- 224. There are seven class - intervals.
(i) Write the class - intervals.
(ii) Write the class - marks of each interval.

Q.

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

1. 33.1

2. 30.6

3. 28.1

4. 35.6

Q.

(i) Find the class mark of the class 90-120.
(ii) In a frequency distribution, the mid-value of the class is 10 and width of the class is 6. Find the lower limit of the class.
(iii) The width of each of five continuous classes in a frequency distribution is 5 and lower class limit of the lowest class is 10. What is the upper class limit of the highest class?
(iv) The class marks of a frequency distribution are 15, 20, 25, .... Find the class corresponding to the class mark 20.
(v) In the class intervals 10-20, 20-30, find the class in which 20 is included.

Q.

Explain the meaning of each of the following terms.
(i) Variate
(ii) Class interval
(iii) Class size
(iv) Class mark
(v) Class limint
(vi) True class limits
(vii) Frequency of a class
(viii) Cumulative frequency of a class

Q.

Write the class size in each of the following:
(i) 0-4, 5-9, 10-14
(ii) 10-19 - 20-29, 30-39
(iii) 100 - 120, 120-140, 160-180
(iv) 0-0.25, 0.25-0.50, 0.50-075
(v) 5-5.01, 5.01-5.02, 5.02-5.03

Q. The weight in grams of 35 mangoes picked at random from a consignment are as follows:

131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 79, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 100, 109, 128, 115, 107, 115 .

Form a grouped frequency table by dividing the data into classes of equal width of 20 g, such that the mid-value (Class mark) of the first class interval is 70g.

Q.

Choose the correct answer in each of the following questions:
In a frequency distribution, the mid-value of a class is 10 and width of each class is 6. The lower limit of the class is
(a) 6
(b) 7
(c) 8
(d) 12

Q.

In the following data, the number of class intervals, (by inclusive method), and taking 4 as the magnitude of class intervals will be

31, 23, 19, 29, 22, 20, 16, 10, 13, 34

38, 33, 28, 21, 15, 18, 36, 24, 18, 15

12, 30, 27, 23, 20, 17, 14, 32, 26, 25

18, 29, 24, 19, 16, 11, 22, 15, 17, 10

1. 9

2. 7

3. 10

4. 8

Q.

The class mark of class $90-120$ is

1. $90$

2. $105$

3. $115$

4. $120$

Q.

For the bivariate frequency table for$x$ and$y$, then the marginal frequency distribution for$y$ is given by

$\raisebox{1ex}{$y$}\!\left/ \!\raisebox{-1ex}{$x$}\right.$	$0-10$	$10-20$	$20-30$	$30-40$	Sum
$0-10$	$3$	$2$	$4$	$2$	$11$
$10-20$	$-$	$1$	$3$	$1$	$5$
$20-30$	$3$	$2$	$-$	$-$	$5$
$30-40$	$-$	$6$	$7$	$-$	$13$
Sum	$6$	$11$	$14$	$3$	$34$

1. $0-10$	$6$
   $10-20$	$11$
   $20-30$	$14$
   $30-40$	$3$

2. $0-10$	$11$
   $10-20$	$5$
   $20-30$	$5$
   $30-40$	$13$

3. $0-10$	$10$
   $10-20$	$12$
   $20-30$	$14$
   $30-40$	$1$

4. None of these

Q.

Q. If the class intervals of a frequency distribution be $16-25,26-35,36-45,46-55$, then determine
(a) the class limits and class boundaries of the class $36-45$
(b) the class size and the class mark of the class interval $26-35$
(c) the class intervals when changed into overlapping class interval

Q.

Choose the correct answer in each of the following questions:
In the class intervals 10-20, 20-30, the number 20 is included in
(a) 10-20
(b) 20-30
(c) in each of 10-20 and 20-30
(d) in none of 10-20 and 20-30

Q.

Question 1(d)

Estimate the following using general rule:
28, 292 – 21, 496

Q. For class interval $20-25$, write the lower class limit and the upper class limit.

Q.

Class mark of a class interval U-L is

1. 

2. 

3. 

4. 

Q. Question 5(iii)
Find
$\left(c\right)\frac{3}{4}of\left(i\right)16\left(ii\right)36$

Q.

Question 33

$25.4\times 1000=$ ___.

Q. The small groups obtained on grouping all the observations are called ________ and their size is called the _________.

1. Class size, Class Intervals.
2. Class Intervals, Class Size
3. Mid value, Range
4. Range, Mid Value

Q.

A point is an undefined term.True or False?

1. True

2. False

Q.

In the class interval 22-26, the lower limit is _____ .

1. 25

2. 22

3. 26

4. 24

Q.

Question 75

In the following question, state whether the given statement is true (T) or false (F).
Every multiple of a number is greater than or equal to the number.

Q.

A line is a defined term. True or False?

1. False

2. True

Q.

If 35 is the upper limit of a class interval of class size 10, then the lower limit of the class interval is _____

1. 25

2. 30

3. None of these

4. 20

Q.

Choose the correct answer in the following question:
The mid-value of a class interval is $42$ and the class size is $10$. The lower and upper limits are
(a) $37-47$
(b) $37.5-47.5$
(c) $36.5-47.5$
(d) $36.5-46.5$

Q.

Question 57

Fill in the blanks to make the statement true.

(-40) $\times$ ___ = 80

Q.

The difference between the highest and lowest values of the observations is called:

1. Frequency

2. Range

3. Mean

4. Class-intervals

Q.

The ___ of a class interval is called its class mark.

1. Width

2. Lower limit

3. Upper limit

4. Mid - point