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Statistics — Mathematics STD 10 — Question

ICSE BoardEnglish MediumSTD 10MathematicsStatistics4 Marks
Question
The marks obtained by $120$ students in a test are given below:
Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 90 - 100
No. of Students 5 9 16 22 26 18 11 6 4 3
Draw an ogive for the given distribution on a graph sheet.
Use suitable scale for ogive to estimate the following :
(i) the median.
(ii) The number of students who obtained more than 75% marks in the test.
✓

Answer

Image
(i) Here $n=120$, even
$ \therefore \text { Median }=\left(\frac{120}{2}\right)^{\text {th }} \text { observation }$
$=60^{\text {th }} \text { observation }$
$=42.5 \text { (approx) } $

(ii) Number of students who obtained more than $75\%$ marks in the test $= 120 - 110 = 10$
(iii) Number of students who did not pass the test if minimum marks required to pass is $40 = 52.$

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