Exclusive Method

Q. There are two methods of preparing a grouped frequency distribution table, one is Inclusive method and the other is ____.

1. Shortcut method
2. Extension method
3. Exclusive method
4. Long method

Q.

The following are the marks (out of $100$) of $60$ students in mathematics. $16,13,5,80,86,7,51,48,24,56,70,19,61,17,16,36,34,42,34,35,72,55,75,31,52,28,72,97,74,45,62,68,86,35,85,36,81,75,55,26,95,31,7,78,92,62,52,56,15,63,25,36,54,44,47,27,72,17,4,30.$ Construct a grouped frequency distribution table with the width $10$ of each class starting from $0-9.$

Q. The marks obtained by $36$ students in a test in statistics (out of $50$) are as below.
$3511535452331402113152047484234434533371113271812373938161318$ $5414743$
Construct a frequency distribution table with equal class intervals, one of them being $10-20$ ($20$ is not included)

Q.

The two types of frequency distributions are inclusive and exclusive. State whether true or false.

1. True

2. False

Q. Following are the marks obtained by 30 students in an examination :

15 16 44 27 7 37

20 17 47 25 11 47

8 20 38 28 21 23

9 24 36 30 31 20

10 30 40 19 41 17

Taking class intervals 0-10, 10-20, ..................., 40-50, construct a frequency table.

1. None of these

2. C.I.	Tally Marks.	Frequency
   0-10 10-20 20-30 30-40 40-50	||| $||||╲||$ $||||╲||||$ $||||╲|$ $||||╲$	3 7 9 6 5

3. C.I.	Tally Marks.	Frequency
   0-10 10-20 20-30 30-40 40-50	||| $||||╲||$ $||||╲||||$ $||||╲|$ $||||╲$	9 7 3 6 7

4. C.I.	Tally Marks.	Frequency
   0-10 10-20 20-30 30-40 40-50	||| $||||╲||$ $||||╲||||$ $||||╲|$ $||||╲$	5 7 3 6 9

Q. The height of $20$ students of a class ($cm$) are as given: $132,131,135,136,134,132,131,142,142,152,151,151,148,145,131,132,142,156,155,152$. Arrange the data in the form of table of grouped data frequency distribution.

Q. Consider the following marks (out of $50$) scored in mathematics by $50$ students of $8th$ class:
$41,31,33,32,28,31,21,10,30,22,33,37,12,05,08,15,39,26,41,46,34,22,09$.
$11,16,22,25,29,31,39,23,31,21,45,47,30,22,17,36,18,20,22,44,16,24,10,27,39,28,17$.
Prepare a frequency distribution table

Q. A grouped frequency distribution table with classes of equal sizes using $63-72$ $(72$ included$)$ as one of the class is constructed for the following data:
$30,32,45,54,74,78,108,112,66,76,88,40,14,20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44$
The number of classes in the distribution will be:

1. $9$
2. $10$
3. $11$
4. $12$

Q. In the following distribution :

Monthly income range (in Rs.)	Number of families
Income more than Rs. $10000$	$100$
Income more than Rs. $13000$	$85$
Income more than Rs. $16000$	$69$
Income more than Rs. $19000$	$50$
Income more than Rs. $22000$	$33$
Income more than Rs. $25000$	$15$

The numbers of families having income range (in Rs) $16000-19000$ is:

1. $31$
2. $26$
3. $23$
4. $19$

Q. Convert the following data into grouped frequency distribution:
$3,4,5,6,6,5,4,3,2,2,2,1,7,7,8,2$

Q. The weight of $30$ students of a class ($kg$) are as given:

Q.

Find the frequency of getting a number greater than 2 but less than 5.

$\begin{array}{ccccccc}Dice& 1& 2& 3& 4& 5& 6\\ Frequency& 10& 12& 6& 4& 8& 10\end{array}$

1. 10

2. 12

3. 22

4. 13

Q. Write the class size and class limits in each of the following:.
$104,114,124,134,144,154$ and $164$

Q. The marks of $30$ student of a class, obtained in a test (out of $75$), are given below:
$4,21,50,37,68,42,37,38,42,49,52,38,53,57,47,29,64,29,63,33,17,17,39,44,42,7,27,19,54,51$

Q. Convert data into grouped frequency distribution:
$3,5,1,2,3,2,2,1,6,9,5,3,9,2$

Q. Prepare a continuous grouped frequency distribution from the following data:
Mid-point 5 15 25 35 43
Frequency 4 8 13 12 6
Also find the size of class intervals.

Q. Given below are the marks of students in a less than cumulative frequency distribution table. Write the frequencies of the respective classes. Also write the Greater than cumulative frequencies. How many students marks are given in the table?

Class Interval (Marks)	$1-10$	$11-20$	$21-30$	$31-40$	$41-50$
L.C.F. (No of students)	$12$	$27$	$54$	$67$	$75$

Q. There are following the weights of $30$ students of class $10$ of a secondary school:
$34,34,36,37,38,33,34,35,36,37,38,33,34,35,34,33$,

Q. In a study of number of accidents per day, the observations for $30$ days were obtained as follows:
$6356432542$
$4053615526$
$2122054616$
Construct a suitable frequency distribution table.

Q. Convert the following data into grouped frequency table. Find the total frequency:
$2,3,4,12,11,2,4,3,15,15,16,2,3,20,20$

1. $10$
2. $15$
3. $20$
4. $25$

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. True
2. False

Q. Kirmani's third study, as described in the passage, suggests which of the following conclusions about a black-and-white advertisement?

1. It can be repeated more frequently than a comparable color advertisement could before consumers begin to suspect low manufacturer confidence in the quality of the advertised product
2. It may be perceived by some consumers as more expensive than a comparable color advertisement
3. It will attract more attention from readers of the print publication in which it appears if it is used only a few times
4. It will have the greatest impact on consumers' perceptions of the quality of the advertised product if it appears during periods when a color version of the same advertisement is also being used
5. It is likely to be perceived by consumers as a sign of higher manufacturer confidence in the quality of the advertised product than a comparable color advertisement would be

Q. Convert the following data into grouped frequency table:
$12,1,2,3,4,4,4,5,6,3,2,1,12,4,6,7,7,4$

Q. Represent the following data in the form of a frequency distribution:
$52,56,72,68,52,68,52,68,52,60,56,72,56,60,64,56,48,48,64$ and $64$

Q. Explain the types of frequency distribution.

Q.

The times, in seconds, taken by $150$ athletes to run a $110\mathrm{m}$ hurdle race are tabulated below The number of athletes who completed the race in less than $14.6$ seconds is :

Class	Frequency
$13.8-14$	$2$
$14-14.2$	$4$
$14.2-14.4$	$5$
$14.4-14.6$	$71$
$14.6-14.8$	$48$
$14.8-15$	$20$

1. $11$

2. $71$

3. $82$

4. $30$

Q. The marks of $24$ candidates in the subject mathematics are given below :

$45$	$48$	$15$	$23$	$30$	$35$	$40$	$11$
$29$	$00$	$03$	$12$	$48$	$50$	$18$	$30$
$15$	$30$	$11$	$42$	$23$	$02$	$03$	$44$

The maximum marks are $50.$ Make a frequency distribution taking class intervals $0-10,10-20,......$