If n - 2- any of the given Cf then what is the median class

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Standard X

Mathematics

Median

If n / 2= any...

Question

If $\frac{n}{2}$ =any of the given $C f$ then what is the median class

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Solution

No, we would select the next class. The cf should always be greater than n/2 .
For example,
0-10 33
10-20
10
20-30 17
30-40 20

Here, $n / 2 = 10$ coincides with $C F 10.$
Value of $m = 10$ in the formula
As, $m = L + (n / 2 - m) \times C / F$
$= 10 + (10 - 3) \times \frac{10}{7}$
$= 20$
Median value is $20$
Hence, median is lower boundary of the median class is $\frac{n}{2} = C F$

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Similar questions

Q. In the median formula (grouped data), 'cf' represents the cumulative frequency of the class preceding the median class.

Q. Formula for calculating median of grouped data is:

l + [\frac{\frac{n}{2} - c f}{f}] \times h

Median=?

$(a) l + {h \times \frac{(\frac{N}{2} - c f)}{f}} (b) l + {h \times \frac{(c f - \frac{N}{2})}{f}} (c) l - {h \times \frac{(\frac{N}{2} - c f)}{f}} (d) n o n e o f t h e s e$

Q. If

A D, B E

and

C F

are the medians of

Δ A B C,

then the value of

(A D^{2} + B E^{2} + C F^{2}) : (B C^{2} + C A^{2} + A B^{2})

is:

Q. The median for grouped data is formed by using the formula, Median

= l + (\frac{\frac{n}{2} - c f}{f}) \times h

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If n2 =any of the given Cf then what is the median class

If $\frac{n}{2}$ =any of the given $C f$ then what is the median class