Find the mode of the following data: $125, 225, 175, 125, 175, 225, 125, 325, 375, 125, 225$ .

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Solution

Step 1: Arrange and tabulate the data.
$x$ $125$ $175$ $225$ $325$ $375$
$f$ $4$ $2$ $3$ $1$ $1$
Step 2: Calculate mode.
The mode of any given data is the value that is repeated the maximum number of times or the value having the highest frequency.
Therefore, the mode of the given data is $125$ .

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The expanded form of $(3 x - 5)^{3}$ is
(a) $27 x^{3} + 135 x^{2} + 225 x - 125$
(b) $27 x^{3} + 135 x^{2} - 225 x - 125$
(c) $27 x^{3} - 135 x^{2} + 225 x - 125$
(d) none of these

Q. Find the mode from the following data:

125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125

Q. L.C.M. of

125, 175, 225

Q. The daily wages in a factory are distributed as follows:

Daily wages (in Rs.)	$125 - 175$	$175 - 225$	$225 - 275$	$275 - 325$	$325 - 375$
Number of workers	$4$	$20$	$22$	$10$	$6$

Draw a frequency polygon for this distribution.

Q. The following table given the daily wages of workers in a factory. Compute the standard deviation and the coefficient of variation of the wages of the workers.

Wages (Rs)	$125 - 175$	$175 - 225$	$225 - 275$	$275 - 325$	$325 - 375$	$375 - 425$	$425 - 475$	$475 - 525$
Number of workers	$2$	$22$	$19$	$14$	$3$	$4$	$6$	$1$

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Find the mode of the following data: 125,225,175,125,175,225,125,325,375,125,225.

Step 1: Arrange and tabulate the data.x125175225325375f42311Step 2: Calculate mode.The mode of any given data is the value that is repeated the maximum number of times or the value having the highest frequency.Therefore, the mode of the given data is 125.

Find the mode of the following data: $125, 225, 175, 125, 175, 225, 125, 325, 375, 125, 225$ .

Step 1: Arrange and tabulate the data.
$x$ $125$ $175$ $225$ $325$ $375$
$f$ $4$ $2$ $3$ $1$ $1$
Step 2: Calculate mode.
The mode of any given data is the value that is repeated the maximum number of times or the value having the highest frequency.
Therefore, the mode of the given data is $125$ .