Question

Find the arithmetic mean of the following frequency distribution: xi 3 4 5 7 10 fi 3 4 8 5 10 ​

Answer 1

Step-by-step explanation:

for xi mean= 3+4+5+7+10/5

= 29/5

for fi mean=3+4+8+5+10/5

= 30/5 = 6

....hope you got it....

Answer 2

Answer: Mean = 6.67

Here, fi is the frequency (how many times something occurs) and xi is observation.

Step-by-step explanation:

 Using direct method:

Mean = Σfixi/Σfi

Write the values in a table so you can calculate easily.

 Mean = Σfixi/Σfi  [ 'Σ' means summation or sum of all values of ]

xi       fi          fixi

3         3         3 * 3 = 9

4          4        4 * 4 = 16

5          8           40

7           5            35

10          10          100

Σfi = 3+4+8+5+10 = 30

Σfixi = 12 + 16+ 40 +35+ 100 = 200

Therefore, Mean = 30/200 = 6.67

Hope its helpful :D!