Question

As a part of Mathematics class activity, the teacher instructed the students to prepare a Frequency distribution table of class size 10, using the data collected. Anita collected the following data regarding marks (out of 50) for 60 students of class IX 27 ,11, 31, 25, 33, 10, 38, 15, 23, 42, 19, 35 ,25, 34, 17, 28, 28, 15, 37, 29, 32, 36, 24, 37, 19, 27 , 37 , 23 , 44 , 16 , 24 , 9 , 49 , 29 , 25 , 31 , 25 , 21 , 34 , 34 , 36, 28, 24, 45, 33, 47, 50, 38, 25, 27, 34, 43, 32, 25, 45, 39, 26, 18, 22, 40

(i)How many students scored more than 30 but less than 40 ?

(ii)How many students scored less than 20 marks?

(iii)What is the Class mark of the class interval 40 – 50?

(iv)What is the lower limit of the class interval with maximum frequency?






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Answer 1

Answer:

Question 1:

The marks obtained by 40 students of class VIII in an examination are given below:

16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.

Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.

ANSWER:

The frequency table for the marks of 40 students of class VIII in an examination is given below:

Range of Marks Tally Marks Frequency

0−5 |||| |||| 9

5−10 |||| |||| 9

10−15 |||| || 7

15−20 |||| |||| 9

20−25 |||| |