Exclusive & Inclusive Form

Q.

Calculate the mean for the following frequency distribution:

Marks	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	3	7	10	6	8	2	4

Q.

Calculate the mean for the following frequency distribution:

Marks	15 – 19	20 – 24	25 – 29	30 – 34	35 – 39	40 – 44
Frequency	6	5	9	12	6	2

Q.

If the perimeter of a rectangle is 23 cm and its width is 4 cm, then find the length of the rectangle.

1. 7.5 cm

2. 8.5 cm

3. 3.8 cm

4. 4.6 cm

Q.

Class interval	26-30	31-35	36-40	41-45	46-50
Frequency	4	7	15	5	3

Which of the following class interval includes the data value 35?

1. 31-35
2. 36-40
3. 31-45
4. None of these.

Q. Choose the correct option (s):

a) Inclusive class interval is same as discreate class interval

b) Exclusive class interval is same as discreate class interval

c) Inclusive class interval is same as continous class interval

d) Exclusive class interval is same as continous class interval

1. (a) and (b)
2. (a) and (c)
3. (a) and (d)
4. (b) and (c)

Q. Which of the following statement(s) is/are true in case of inclusive class intervals?

1. Limits and boundaries are equal.
2. Limits and boundaries are not equal.
3. Both lower and upper limits of a particular class belong to that particular class interval.
4. Class intervals are continous in nature.

Q. Average of Upper Limit (UL) of first class and Lower Limit (LL) of second class becomes the Upper Boundary (UB) of the first class and _____________.

1. Lower Boundary (LB) of the second class.
2. Uppper Boundary (LB) of the first class.
3. Upper Boundary (UB) of the second class.
4. Lower Boundary (LB) of the first class.

Q. Which of the following is true in case of exclusive class interval?

1. Limits and boundaries are equal.
2. Class intervals are discrete in nature.
3. Class intervals are continous in nature.
4. Limits and boundaries are not equal.

Q. Which of the following statement(s) is/are true in the case of class intervals given in the table?

Class intervals	Frequency
1.5 - 11.5	3
12.5 - 22.5	5
23.5 - 33.5	6
34.5 - 44.5	7

1. Class intervals are exclusive in nature.
2. Class intervals are inclusive in nature.
3. Lower limit 12.5 and upper limit 22.5 both belong to class interval 12.5 - 22.5.
4. 22.1 belong to the class 12.5 - 22.5

Q. The frequency table of the ages of 40 students in a class is given below. Find their mean age.

Age of students (in years)	11	12	13	14
Frequency	16	10	12	2

Q. The lines which lie on the same plane and do not intersect at any point are called_______lines.

1. parallel
2. intersecting
3. perpendicular
4. none of these

Q. Ten observations 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written in ascending order. If the median of the given data is 24 then find the value of x.

1. 17
2. 20
3. 30
4. 20.33

Q.

Four alternative options are given for each of the following statements. Select the correct option.

In an inclusive class interval (10 - 14), the lower real limit is:

A. 9.5

B. 10.5

C. 13.5

D. 14.5

Q. The money earned (in rupees) by each of the 40 scouts in the Khari Kamai project is given below.
$\begin{array}{cccccccccc}5& 6& 10& 7& 8& 9& 6& 5& 10& 7\\ 8& 7& 6& 5& 10& 10& 9& 7& 8& 6\\ 5& 7& 9& 6& 10& 10& 10& 10& 8& 7\\ 6& 7& 8& 9& 6& 7& 8& 9& 10& 5\end{array}$
Make a frequency table for this data and find the mean.

Q. Solve:
$\frac{y-4}{3}+3y=4$

Q. Solve :
$x+2y=3$ and $4x+3y=2$

Q.

For the relation R= {(1, 2), (2, 3), (4, 5), (3, 6)}

The domain is

1. {2, 3, 5, 6}

2. {1, 3, 5, 6}

3. {1, 2, 3, 4}

4. {1, 2, 3, 4, 5, 6}

Q. The number of drivers fined for breaking traffic rules on each day in June at a certain square is as follows-
$\begin{array}{ccccccccccccccc}2& 0& 3& 2& 3& 1& 3& 0& 2& 1& 1& 2& 2& 3& 1\\ 0& 1& 0& 4& 3& 2& 1& 2& 3& 3& 2& 3& 4& 4& 2\end{array}$

From this data, make a frequency table and find the mean.

Q. Calculate the mean deviation about the median of the following observations:
(i) 3011, 2780, 3020, 2354, 3541, 4150, 5000
(ii) 38, 70, 48, 34, 42, 55, 63, 46, 54, 44
(iii) 34, 66, 30, 38, 44, 50, 40, 60, 42, 51
(iv) 22, 24, 30, 27, 29, 31, 25, 28, 41, 42
(v) 38, 70, 48, 34, 63, 42, 55, 44, 53, 47

Q. Continuous class intervals in grouped frequency distributions is also known as ______.

1. Inclusive class intervals
2. Class mark
3. Limits
4. Exclusive class intervals

Q.

If the classes in a grouped frequency distribution are not continuous, we can make them continuous by finding half of the difference between the upper limit of a class and the lower limit of the next class, and then adding the same to all the lower limits and subtracting it from all the upper limits in the distribution.

1. False
2. True

Q.

Find the mean for the following distribution:

12, 14, 10, 12, 15, 12, 18, 10, 15, 11, 19, 20, 12, 15, 19, 10, 18, 16, 20, 17.