Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Calculate the median from the following data: Height (in cm)

Question

Calculate the median from the following data:
Height (in $c m$ ) $135 - 140$ $140 - 145$ $145 - 150$ $150 - 155$ $155 - 160$ $160 - 165$ $165 - 170$ $170 - 175$
No of boys $6$ $10$ $18$ $22$ $20$ $15$ $6$ $3$

Views: 868 students

Found 7 tutors discussing this question

Sophia Discussed

Calculate the median from the following data:

Height (in $c m$ )	$135 - 140$	$140 - 145$	$145 - 150$	$150 - 155$	$155 - 160$	$160 - 165$	$165 - 170$	$170 - 175$
No of boys	$6$	$10$	$18$	$22$	$20$	$15$	$6$	$3$

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Where

c f =

cumulative frequency
Median

= 1 + ⎩ ⎨ ⎧ h \times \frac{( \frac{N}{2} - c f )}{f} ⎭ ⎬ ⎫

Here

N = 100

N /2 = 50

c f

just greater than

50

56

Median class

= 150 - 155

So,

I = 150, h = 5, f = 22

and

c f = c f

of preceding class i.e

34

Substitute all the value in the above formula, we get
Median

= 150 + {5 \times (50 - 34) /22}

= 150 + 3.64

= 153.64

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Calculate the median from the following data:
Answer Type	Text solution:1
Upvotes	150