Question

(x+2) , x and (x-1) are the frequencies of the numbers 12,15,20

respectively. If the mean of the distribution is 14.5, the value of x is

(A) 2 (B) 3 (C) 4 (D) 5​

Answer 1

Answer:

(B) 3

Step-by-step explanation:

Explanation given in pic

Answer 2

(B) 3

• In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode.
• The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organised in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.

Here, according to the given information, we are given that,

(x+2) , x and (x-1) are the frequencies of the numbers 12,15,20 respectively.

Also, we have that, the mean of the distribution is 14.5

This means that,

$\frac{12(x+2)+15x+20(x-1)}{x+2+x+x-1} =14.5$

Or, $\frac{12x+24+15x+20x-20}{3x+1} =14.5$

Or, $47x + 4=43.5x+14.5$

Or, 3.5 x = 10.5

Or, x = 3.

Hence, option B is correct.

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