question_answer

The mean of the following frequency distribution is 53. But the frequencies \[{{f}_{1}}\]and \[{{f}_{2}}\]in the classes 20 - 40 and 60 - 80 are missing. Find the missing frequencies.

Age (in year)	0-20	20-40	40-60	60-80	80-100	Total
Number of people	15	\[{{f}_{1}}\]	21	\[{{f}_{2}}\]	17	100

A)  \[{{f}_{1}}=18\,\,\And \,\,{{f}_{2}}=29\]

B)  \[{{f}_{1}}=22\,\,\And \,\,{{f}_{2}}=25\]

C)  \[{{f}_{1}}=14\,\,\And \,\,{{f}_{2}}=33\]        

D)  \[{{f}_{1}}=24\,\,\And \,\,{{f}_{2}}=23\]

E)  None of these