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)
Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165survey 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.
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Height (in cm) f C.F.
below 140 4 4
140-145 7 11
145-150 18 29
150-155 11 4
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,
- I = 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
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