Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

7.   The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

   3.7

Answers (1)

best_answer

Class

Number of

students f_i

Cumulative

Frequency
40-45 2 2
45-50 3 5
50-55 8 13
55-60 6 19
60-65 6 25
65-70 3 28
70-75 2 30

MEDIAN:
N= 30 \implies \frac{N}{2} = 15
\therefore Median class = 55-60; Lower limit, l = 55; 

Cumulative frequency of preceding class, c.f. = 13; f = 6; h = 5
Median = l + \left (\frac{\frac{n}{2}-c.f}{f} \right ).W
\\ = 55+ \left (\frac{15-13}{6} \right ).5 \\ \\ = 55+\frac{2}{6}.5

= 56.67

Thus, median weight of the student is 56.67 kg

Posted by

HARSH KANKARIA

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question