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Statistics — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsStatistics5 Marks
Question
Calculate the mean of the distribution given below using the short cut method.
Marks $11 - 20$ $21 - 30$ $31 - 40$ $41 - 50$ $51 - 60$ $61 - 70$ $71 - 80$
No. of students $2$ $6$ $10$ $12$ $9$ $7$ $4$
✓

Answer

Image
$\therefore \text { Mean }=A+\frac{\sum f d}{\sum f}$
$ =45.5+\frac{70}{50}$
$ =45.5+\frac{7}{5} $
$ =\frac{227.5+7}{5}$
$=\frac{234.5}{5} $
$ =46.9$

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