Calculate mode of the following sercies:
`{:("Class Interval",10-19,20-29,30-39,40-49,50-59,60-69,70-79),("Frequency"," "10," "12," "18," "30," "16," "6," "8):}`

Explanation

For the calculation of mode , inclusive series are first to be converted into exclusive series , as under :

A glance at the above table reveals that 39.5-49.4 is the model class interval . The actual value of mode is ,
`Z=l_(1)+(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxi`
`=39.5+(30-18)/(2(30)-18-16)xx10`
`=39.5+(12)/(60-34)xx10`
`=39.5+(12)/(26)xx10`
`=39.5+4.62=44.12`
Mode (Z) =44.12.