Question

If the mean of the following data is 20.2, then find the value of p.
xi
10
15
20
25
30

fi
6
8
p
10
6

Answer 1

the value of p is 7 for the table

Answer 2

Answer:

p = 70.5.

Step-by-step explanation:

Given:

• The mean of the distribution = 20.2.

• The given distribution is following:

        xi           fi    

        10          6

        15          8

        20         p

        25         10  

        30         6

The mean of the given distribution is calculated as

$\rm Mean=\dfrac{\sum_i x_i\cdot f_i}{\sum_ix_i}$

Therefore,

$\rm Mean = \dfrac{(10\times 6)+(15\times 8)+(20\times p)+(25\times 10)+(30\times 6)}{10+15+20+25+30}\\20.2=\dfrac{610+20p}{100}\\610+20p = 20.2\times 100=2020\\20p=2020-610=1410\\p=\dfrac{1410}{20}=70.5.$