Question

Find the missing frequency f from the following data .it is given that the mean is 16 xi 5 ,10,15,20,25 fi 2,8,f, 10,5

Answer 1

Answer:

f=15

Step-by-step explanation:

fi         xi        fixi

2         5         10

8         10        80

f           15        15f

10         20      200

5            25     125

fi=25+f            fixi=415+15f

x=fixi/fi

16=415+15f/25+f

16*(25+f)=415+15f

400+16f=415+15f

16f-15f=415-400

f=15

Answer 2

$Mean \: = \frac{ Σfixi}{ Σ fi}$

Σfixi = 415+15f

Σfi = 25+f

Mean = 16

[substitute the values]

$16 = \frac{415 + f}{25 + f}$

16(25+f) = 415+15f

400+16f = 415+15f

16f-15f = 415-400

f = 15

$\boxed{Therefore \: value \: of \: f \: = 15}$

Extra Information =>

➡ The measures of central tendency are mean , median , mode .

➡ Mean is also known as arithmetic mean .

➡ There are three methods to find out the mean . They are =>

1] Simple Method

2] Diveation Method

3] Step Diveation Method