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Question

The distribution of height of 50 children are given. If the mean height for the distribution is 117.8 cm, then complete the following table.
Height110115x1120121125Number of students6814f143
 


  1. x1=118,f1=15

  2. x1=118,f1=8

  3. x1=221,f1=45

  4. x1=121,f1=15


Solution

The correct option is A

x1=118,f1=15


xififixi11066601158920x11414x1120f1120f112144841253375Totalfi=35+f1f1x1=2439+14x1+120f1

Now, fi=50
35+f1=50f1=15
We know that, ¯x=x1fifi

117.8=2439+14x1+120f1505890=2439+14x1+120×15[f1=15]58904239=14x11651=14x1x1=117.93118

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