The final marks obtained in Mathematics by $40$ students are as follows: $60, 56, 90, 50, 62, 67, 100, 48, 39, 70, 60, 55, 68, 58, 59, 98, 84, 78, 60, 37, 64, 52, 77, 48, 61, 88, 58, 44, 75, 53, 62, 75, 82, 61, 19, 49, 39, 68, 50, 52 .$
How many students scored more than $70$ marks?

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Solution

As we can see in the given data that $10$ students scored more than $70$ marks.

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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?

There are 68 students of 9th standard from model Highschool, Nandpur. They have scored following marks out of 80, in written exam of mathematics.

70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66, 56, 47

By taking classes 30-40, 40-50, .... prepare the less than type cumulative frequency table

Using the table, answer the following questions :

(i) How many students, have scored marks less than 80 ?

(ii) How many students have scored marks less than 40 ?

(iii) How many students have scored marks less than 60 ?

Q. The marks obtained by 25 students in a science test are given below. (Marks out of 30)

\begin{matrix} 8 & 7 & 12 & 17 & 20 & 11 & 10 & 10 & 16 \\ 21 & 28 & 25 & 13 & 9 & 27 & 18 & 20 & 19 \\ 7 & 29 & 16 & 15 & 20 & 22 & 27 \end{matrix}

Using this data, answer the following questions:

(1) What is the lowest score obtained?
(2) How many students have obtained this lowest score?
(3) How many students have obtained 20 marks?
(4) What is the frequency of the score 27?
(5) How many students have scored more than 20 marks?

The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.

(i) In which subject did the student score 105 marks?

(Hint: For 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)

(ii) How many more marks were obtained by the student in Mathematics than in Hindi?

(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.

(Hint: Just study the central angles).

The final marks obtained in Mathematics by $40$ students are as follows: $60, 56, 90, 50, 62, 67, 100, 48, 39, 70, 60, 55, 68, 58, 59, 98, 84, 78, 60, 37, 64, 52, 77, 48, 61, 88, 58, 44, 75, 53, 62, 75, 82, 61, 19, 49, 39, 68, 50, 52 .$

What is the highest score $?$

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The final marks obtained in Mathematics by 40 students are as follows: 60,56,90,50,62,67,100,48,39,70,60,55,68,58,59,98,84,78,60,37,64,52,77,48,61,88,58,44,75,53,62,75,82,61,19,49,39,68,50,52. How many students scored more than 70 marks?

As we can see in the given data that 10 students scored more than 70 marks.

The final marks obtained in Mathematics by $40$ students are as follows: $60, 56, 90, 50, 62, 67, 100, 48, 39, 70, 60, 55, 68, 58, 59, 98, 84, 78, 60, 37, 64, 52, 77, 48, 61, 88, 58, 44, 75, 53, 62, 75, 82, 61, 19, 49, 39, 68, 50, 52 .$
How many students scored more than $70$ marks?

As we can see in the given data that $10$ students scored more than $70$ marks.