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Stastics — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsStastics1 Mark
MCQ
Consider the following frequency distribution :
Class
 $0-5$ $6-11$ $12-17$ $18-23$ $24-29$
Frequency
 $13$ $10$ $15$ $8$ $11$
The upper limit of the median class is
  • A
    $16.5$
  • B
    $18.5$
  • C
    $18$
  • ✓
    $17.5$
✓

Answer

Correct option: D.
$17.5$
The given series is in indusive from.
comverting in to exclusive from and preparing cumulative frequency tabla, we get
Class Frequency Cumulative frequency
$-0.5-5.5$ $13$ $13$
$5.5-11.5$ $10$ $23$
$11.5-17.5$ $15$ $38$
$17.5-23.5$ $8$ $46$
$23.5-29.5$ $11$ $57$
Here, $\text{N}=57$
$\Rightarrow\frac{\text{N}}{2}=28.5$
The cumulative frequency just greater than $28.5$ is $38$.
Hence, the median class is $11.5-17.5$
$\therefore$ Upper limit of the median class $= 17.5$

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