Question

The Kendriya Vidyalaya Sangathan is a system of premier central government schools in India that are instituted

under the aegis of the Ministry of Education (MHRD), Government of India. As of October 2020, it has a total of 1239

schools. It is one of the world’s largest chains of schools. The system came into being in 1963 under the name

‘Central Schools’. Later, the name was changed to Kendriya Vidyalaya. It is a non profit organisation. Its schools are

all affiliated to the Central Board of Secondary Education (CBSE). The objective of KVS is to cater to the educational

needs of the children of transferable Central Government employees including Defence and Para-Military personnel

by providing a common programme of education.



Commissioner of Regional office Jaipur preapare a table of the marks obtained of 100 students which is given below

Marks obtained 0-20 20-30 30-40 40-50 50-60

Number of

students

15 18 21 29 p

He was told that mean marks of a student is 53.

(i) How many students got marks between 80-100?

(a) 21 (b) 38 (c) 17 (d) 26
(ii) What is the lower limit of model class ?

(a) 20 (b) 40 (c) 60 (d) 80

(iii) What is the value of model marks ?

(a) 58 (b) 62 (c) 65 (d) 68

(iv) What is the value of median marks ?

(a) 58 (b) 62 (c) 65 (d) 72

(v) What is the upper limit of median class ?

(a) 20 (b) 40 (c) 60 (d) 80​

Answer 1

Answer:

(i)since number of students are 100

15+18+21+29+p=100

83+p=100

p=100-83

p=17

therefore:option(c) is correct

(ii)highest frequency of model class is 29

hence the lower limit of model class is40

option(b) is correct

(iii)mode=l+(f1-f0÷2f1-f0-f2)×h

mode=60+8÷58-38×20

mode=60+8

mode=68

(iv)3m=2mean+mode

3median=53(2)+68

3median=106+68

3median=174

median=174÷3

median=58