Question

 A Mathematics teacher asks students to collect the marks of Mathematics in Half yearly exam. She instructed to all the students to prepare frequency distribution table using the data collected. Ram collected the following marks (out of 50) obtained in Mathematics by 60 students of Class IX21, 10, 30, 22, 33, 5, 37, 12, 25, 42, 15, 39, 26, 32, 18, 27, 28, 19, 29, 35,31, 24, 36, 18, 20, 38, 22, 44, 16, 24, 10, 27, 39, 28, 49, 29, 32, 23, 31, 21,34, 22, 23, 36, 24, 36, 33, 47, 48, 50, 39, 20, 7, 16, 36, 45, 47, 30, 22, 17. What is 1) the class size of the classes (a) 10

(b) 5

(c) 15

(d) 20​

Answer 1

SOLUTION

TO DETERMINE

(i) How many students scored more

than 20 but less than 30

(a) 20 (b) 21 (c) 22 (d) 23

(ii) How many students scored less than

20 marks

(a) 10 (b) 11 (c) 12 (d) 14

(iii) How many students scored more

than 60% marks

(a) 20 (b) 25 (c) 26 (d) 27

(iv) What is the class size of the classes

(a) 10 (b) 5 (c) 15 (d) 20

EVALUATION

From the given data we generate the frequency table as below

$\begin{gathered} \begin{array}{|c|c| } \bf{Class \: Interval} & \bf{Frequency} \\ \\ 0 - 10 & 2 \\10 - 20 & 10 \\20 - 30 & 21 \\30 - 40 & 19 \\40 - 50 & 7 \\50 - 60 & 1 \\ \\ \bf{Total} & 60 \end{array}\end{gathered}$

From above table we observe that

(i) The students scored more

than 20 but less than 30 is 21

Hence the correct option is (b) 21

The number of students scored less than

20 marks is 12

Hence the correct option is (c) 12

(iii) The number of students scored more

than 60% marks

= 19 + 7 + 1

= 26

Hence the correct option is (d) 27

(iv) The class size of the classes = 10

Hence the correct option is (a) 10

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Answer 2

Step-by-step explanation:

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