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Frequency Distribution Table

Peter made a ...

Question

Peter made a frequency table of the scores of his students in an exam. In which class interval students get a high score?

A

25 - 30

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B

35 - 40

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C

40 - 45

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D

45 - 50

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Solution

The correct option is C $40 - 45$
The highest frequency score is $81$ .
So, students in the class interval $40 - 45$ get a high score as $81$ .

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Q. The marks scored by 5 students in a class are 25, 30, 35, 40 and 45. Find the standard deviation using Assumed mean method.

Q. Following table shows the frequency of students who have scored more than 10 marks in Maths. However, there is a score of 40 which is left out. To which class should this score be mapped to?

\begin{matrix} C l a s s & F r e q u e n c y 10 - 20 & 12 20 - 30 & 2 30 - 40 & x 40 - 50 & y \end{matrix}

Q. In a school, no student has scored less than 25 marks or more than 60 marks in an examination. Their cumulative frequencies are as follows:

Less than	60	55	50	45	40	35	30
Total frequency	120	115	90	75	65	45	32

Find the frequencies in the class intervals 25−30, 30−35,....55−60.

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. Marks of students of class VIII-B are distributed in the grouped frequency distribution table given below.

Class intervals (Marks)	Number of Students
0-30	25
30-40	35
40-60	27
60-100	13

What is the length of the bar in the histogram for the 4th class interval ?

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