Question

If the mean of the data 3,21,25,17,(x+3),19,(x-4) is 18, find the value of x using this value of x,find the mode of the data

Answer 1

this must be the best answer

Answer 2

The value of x is 21

Mode of data is 17

Solution:

The mean of data is given as:

$Mean = \frac{ \text{ sum of all observations }}{ \text{ number of observations }}$

From given,

Mean = 18

3, 21, 25, 17, (x + 3), 19, (x - 4)

Number of observations = 7

Sum of observations = 3 + 21 + 25 + 17 + x + 3 + 19 + x - 4 = 2x + 84

Therefore,

$18 = \frac{ 2x + 84 }{7}\\\\18 \times 7 = 2x + 84$

2x + 84 = 126

2x = 126 - 84

2x = 42

x = 21

Thus value of x is 21

Find the mode of data

Mode = most repeated number on data set

Now , observations are:

3, 21, 25, 17, (x + 3), 19, (x - 4)

3, 21, 25, 17 , 24, 19, 17

Since, 17 is repeated 2 times

Mode of data is 17

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