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Tabulation and Interpretation of Ungrouped Data

The marks obt...

Question

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?

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Solution

(1) The lowest score obtained is 7.
(2) 2 students have obtained this lowest score.
(3) 3 students have obtained 20 marks.
(4) 2 is the frequency of the score 27.
(5) 7 students have scored more than 20 marks.

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Below is the histogram representing the marks obtained by 43 students of a class. How many students have scored highest marks?

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 ?

By using data in example (6), and taking classes 30-40, 40-50... prepare equal to or more than type cumulative frequency table and answer the following questions based on it.

(i) How many students have scored marks 70 or more than 70 ?

(ii) How many students have scored marks 30 or more than 30 ?

Q. 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?
(ii) How many more marks were obtained by the students 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.

Q. How many students have scored the lowest marks in two or more subjects?

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