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

State True/ False:

A survey regarding the heights (in cm ) of 50 girls of a class was conducted and the following data was obtained. Then, the mean will be 149.8 cm.

Height (in cm)
120-130
130-140
140-150
150-160
160-170
Total
Number of girls
2
8
12
20
8
50

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

True

False

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Consider the given table,

Height (in cm)	120-130	130-140	140-150	150-160	160-170	Total
Number of girls	2	8	12	20	8	50

The frequency distribution table for the given data is:

Height (in cm)	Mid-value $x_{i}$	$f_{i}$	$x_{i} f_{i}$
120-130	125	2	250
130-140	135	8	1080
140-150	145	12	1740
150-160	155	20	3100
160-170	165	8	1320
		$\sum f_{i} = 50$	$\sum f_{i} x_{i} = 7490$

We know that, mean (

\underset{̲}{x}

) =

\frac{\sum f_{i} x_{i}}{\sum f_{i}}

Here,

\sum f_{i} x_{i} = 7490

and

\sum f_{i} = 50

.
Therefore,
Mean (

\underset{̲}{x}

\frac{7490}{50}

Mean (

\underset{̲}{x}

)= 149.8
Hence, the mean for the given distribution is 149.8 cm.
Thus, the given statement is true.
Therefore, option 1 is correct.

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!