Question

if the mean of the distribution is 27, find the value of p. class 0-10, 10-20,20-30,30-40,40-50 frequency is respectively 8,p,12,13,10

Answer 1

the answer is given in the picture.

Answer 2

Answer:

p=7

Step-by-step explanation:

Class       frequency (f)      mid point (m)      mf

0-10                 8                       5                  40

10-20              p                       15                 15p

20-30            12                      25                 300

30-40            13                       35                455  

40-50            10                       45                450

Total          43+p                                       1245+15p

Formula of mean : $\frac{\sum{mf}}{N}$

Where N is the sum of frequencies  

Since we are given a mean = 27

⇒$27=\frac{1245+15p}{43+p}$

⇒$1161+27p=1245+15p$

⇒$27p-15p=1245-1161$

⇒$12p=84$

⇒$p=\frac{84}{12}$

⇒$p=7$

Hence the value of p is 7