Construct a frequency distribution table for the following marks obtained by 25 students in a history test in calss VIII of a school :

9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9

(i) What is the range of marks ?

(ii) What is the highest mark ?

(iii) Which mark is occurring more frequently ?

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Solution

Frequency distribution table

$F r e q u e n c y d i s t r i b u t i o n t a b l e \begin{matrix} Marks & No.of students 9 & 6 12 & 4 17 & 4 18 & 2 19 & 4 20 & 3 25 & 2 T o t a l & 25 \end{matrix}$

(i) Range =25-9=16

(ii) Highest marks =25

(iii) Marks occurring more frequently =9

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Q. Construct a frequency distribution table for the following marks obtained by 25 students in a history test in class VIII of a school:
9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9
(i) What is the range of marks?
(ii) What is the highest mark?
(iii) Which mark is occurring more frequently?

In a class, following were the marks obtained by 20 students in a maths test.
20, 40 ,50 ,20 , 60 , 50 ,100, 20, 50, 100, 40, 60, 100, 50, 20 ,60, 100 , 50, 40 , 20. Make a frequency distribution table. [2 MARKS]

Q. 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

.
What is the range of the marks obtained?

The data is given for 62 students in a certain class regarding their mathematics marks out of 100. Take the classes 0-10, 10-20.. and prepare frequency distribution table and cumulative frequency table more than or equal to type.

55, 60, 81, 90, 45, 65, 45, 52, 30, 85, 20, 10, 75, 95, 09, 20, 25, 39, 45, 50, 78, 70, 46, 64, 42, 58, 31, 82, 27, 11, 78, 97, 07, 22, 2 36, 35, 40, 75, 80, 47, 69, 48, 59, 32, 83, 23, 17, 77, 45, 05, 23, 37, 38, 35, 25, 46, 57, 68, 45, 47, 49.

From the prepared table, answer the following questions :

(i) How many students obtained marks 40 or above 40 ?

(ii) How many students obtained marks 90 or above 90 ?

(iii) How many students obtained marks 60 or above 60 ?

(iv) What is the cumulative frequency of equal to or more than type of the class 0-10?

Given below are marks obtained by $20$ students in Math out of $25$ .

$21, 23, 19, 17, 12, 15, 15, 17, 17, 19, 23, 23, 21, 23, 25, 25, 21, 19, 19, 19$

Prepare a frequency distribution table for the given data.

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Frequency distribution table FrequencydistributiontableMarksNo.of students96124174182194203252Total25 (i) Range =25-9=16 (ii) Highest marks =25 (iii) Marks occurring more frequently =9

Frequency distribution table

$F r e q u e n c y d i s t r i b u t i o n t a b l e \begin{matrix} Marks & No.of students 9 & 6 12 & 4 17 & 4 18 & 2 19 & 4 20 & 3 25 & 2 T o t a l & 25 \end{matrix}$

(i) Range =25-9=16

(ii) Highest marks =25

(iii) Marks occurring more frequently =9