The median of the following discrete series is
$x_{i}$ $3$ $6$ $5$ $8$ $12$ $7$
$f_{i}$ $5$ $2$ $4$ $6$ $7$ $6$

7

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8

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Solution

The correct option is A $7$
Computation of Median
$x_{i}$ $f_{i}$ $c . f .$
$3$ $5$ $5$
$5$ $4$ $9$
$6$ $2$ $11$
$7$ $6$ $17$
$8$ $6$ $23$
$12$ $7$ $30$

Total $N = 30$

We have, $N = 30$
$∴ \frac{N}{2} = 15$
Cumulative frequency just greater than $\frac{N}{2}$ is $17$ .
The corresponding value of $x = 7$
Hence, median $= 7$

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Similar questions

Q. Which of the following will come next in the following series?

919829873987649876559876546987654

Q. Median of the following freq. dist.

$x_{i}$	$3$	$6$	$10$	$12$	$7$	$15$
$f_{i}$	$3$	$4$	$2$	$8$	$13$	$10$

Q. Find the mean deviation about the median for the data in the following:-

x_{i}

5 7 9 10 12 15

f_{i}

8 6 2 2 2 6

$x_{i}$	$3$	$5$	$7$	$9$	$11$	$13$
$f_{i}$	$6$	$8$	$15$	$3$	$8$	$4$

Find the Mean Deviation (M.D) about the median.

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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$x_{i}$	$f_{i}$	$c . f .$
$3$	$5$	$5$
$5$	$4$	$9$
$6$	$2$	$11$
$7$	$6$	$17$
$8$	$6$	$23$
$12$	$7$	$30$
	Total	$N = 30$

The median of the following discrete series isxi3658127fi524676

The correct option is A 7Computation of Medianxific.f.35554962117617862312730TotalN=30We have, N=30∴N2=15Cumulative frequency just greater than N2 is 17.The corresponding value of x=7Hence, median =7

The median of the following discrete series is
$x_{i}$ $3$ $6$ $5$ $8$ $12$ $7$
$f_{i}$ $5$ $2$ $4$ $6$ $7$ $6$