Question

A survey regarding the heights in (cm) of 51 girls of class X of a school was conducted and the following
data was obtained. Find the median height and the mean using the formulae.

Height (in cm) Number of Girls

Less than 140 4

Less than 145 11

Less than 150 29

Less than 155 40

Less than 160 46

Less than 165 51​

Answer 1

Answer:

149.03

Step-by-step explanation:

Answer

Height (in cm)  f  C.F.  

below 140          4  4  

140-145                  7 11  

145-150                  18  29  

150-155                  11  40  

155-160                  6  46  

160-165                  5  51  

N=51⇒ n/2 = 51/2 =25.5

As 29 is just greater than 25.5, therefore median class is 145-150.

Median=l+ (n/2+C)*h/f

Here, l= lower limit of median class =145

C=C.F. of the class preceding the median class =11

h= higher limit - lower limit =150−145=5

f= frequency of median class =18

∴median=145+ (25.5−11)*5/18

=145+4.03

=149.03

@request Mark me as Brainiest