Find the mode of the following data:
$25, 16, 19, 48, 19, 20, 34, 15, 19, 20, 21, 24, 19, 16, 22, 16, 18, 20, 16, 19$

19

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18

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17

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25

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Solution

The correct option is A $19$
Frequency table for the given data as given below
Value $f_{i}$ : 15 16 18 19 20 21 22 24 25 34 48
Frequency $f_{i}$ : 1 4 1 5 3 1 1 1 1 1 1
The observation with the maximum frequency is the mode of the series.
Here, 19 has the maximum frequency of 5.
So, Mode = 19

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Farm size	$12$	$13$	$14$	$15$	$17$	$18$	$19$	$20$
Number of animals	$3$	$4$	$4$	$2$	$1$	$2$	$4$	$1$

9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9

12

Find the mean of the following data:

$\begin{matrix} x : & 19 & 21 & 23 & 25 & 27 & 29 & 31 f : & 13 & 15 & 16 & 18 & 16 & 15 & 13 \end{matrix}$

25

25, 20, 25, 18, 14, 15, 18, 16, 20, 25, 20, x, 18

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Value $f_{i}$ :	15	16	18	19	20	21	22	24	25	34	48
Frequency $f_{i}$ :	1	4	1	5	3	1	1	1	1	1	1