AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Find the mean height of $30$ players using direct method:

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

149 cm

150 cm

151 cm

148 cm

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given data,

To calculate the arithmetic mean, we will be using direct method.
Now, let’s represent the data into frequency distribution table.

Height (in cm) $xi$	No. of Players $f_{i}$	$f_{i} x_{i}$
100	3	300
120	6	720
150	2	300
160	5	800
170	10	1700
180	4	720

Then,

Σ f_{i} = 3 + 6 + 2 + 5 + 10 + 4

\Rightarrow Σ f_{i} = 30

Σ f_{i} x_{i} = 300 + 720 + 300 + 800 + 1700 + 720

\Rightarrow Σ f_{i} x_{i} = 4540

Then,
Mean =

\frac{Σ f_{i} x_{i}}{Σ f_{i}}

\Rightarrow Mean = \frac{4540}{30}

\Rightarrow Mean = 151.33

\Rightarrow Mean ≃ 151

Therefore, the average height is 151 cm.
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!