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 9th A, B and C. A student is able to collect marks from some students. Rekha scored least marks (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 below figure. (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
Answers
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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