Anil is a Mathematics teacher in Hyderabad, After
Periodic test 3, he asks students to collect the
Mathematics marks of all the students of Class IX-
A, B and C. A student is able to collect marks from
some students, Rekha scored least mark 6 in the
class and Ram scored highest marks 59 in the
class. He prepares the frequency distribution table
using the collected marks and draws Histogram
using the table as shown in adjoining figure,
10 20 30 40 50 60
Marks of the students
(a) What is the width of the class?
() 10 (ii) 15 (iii) 5
(iv) none of these
Answers
Answer:
the answer is 10 i.e first option
Given : Histogram
Rekha scored least marks (6) in the class and Ram scored highest marks (59) in the class.
To Find :
(i)What is the width of the class? (a) 10 (b) 15 (c) 5 (d) none
(ii) What is the total number of students in histogram? (a )50 (b) 60 (c) 65 (d) none
(iii) How many students scored 50% and above marks? (a)19 (b) 26 (c) 27 (d) none
(iv) How many students scored less than 50% marks? (a)19 (b) 26 (c) 27 (d) none
(v) What is the range of the collected marks? (a) 60 (b) 59 (c) 53 (d)none
Solution:
intervals are 0-10 , 10-20 , 20 - 30 , 30-40 , 40 - 50 and 50 - 60
width of the class = 10 (10 - 0 = 10 , 20 - 10 = 10 and so on)
total number of students in histogram
= 2 + 10 + 21 + 19 + 7 + 1
= 60
students scored 50% and above marks
means score 30 or more
= 19 + 7 + 1
= 27
students scored less than 50% marks = 60 - 27 = 33
Hence none
range of the collected marks = 59 - 6 = 53
Histogram :
Histogram: a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges
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