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Construction of a Histogram for Continuous Frequency Distribution

The histogram...

Question

The histogram below represents the Mathematics marks of the students.

Find the total number of students with total marks more than or equal to 40 and less than 70.

A

40

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B

18

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C

27

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D

24

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Solution

The correct option is D
24

No. of students in marks interval 40-50 = 7

No. of students in marks interval 50-60 = 8

No. of students in marks interval 60-70 = 9

So, total no. of students having marks more than or equal to 40 and less than 70 = 7+8+9 = 24

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Q. In a mathematics test following marks were obtained by 40 students of class VI. Arrange these marks in a table using, tally marks.

8	1	3	7	6	5	5	4	4	2
4	9	5	3	7	1	6	5	2	7
7	3	8	4	2	8	9	5	8	6
7	4	5	6	9	6	4	4	6	6

(i) Find how many students obtained marks equal to or more than 7?
(ii) How many students obtained marks below 4?

Q. Following is the distribution of marks of 70 students in a periodical test:

Marks	Number of students
Marks less than 10 Marks less than 20 Marks less than 30 Marks less than 40 Marks less than 50	3 11 28 48 70

Draw a cumulative frequency curve for the above data and find the median.

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?

The histogram below represents the Mathematics marks of the students.

Find the total number of students with total marks more than or equal to 40 and less than 70.

Q. The given histogram represents marks of the students in mathematics.

What percentage of students scored more than or equal to 40 marks and less than 70 marks?

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