1.

The mode of the following distribution is `{:("Class interval :",1-5,6-10,11-15,16-20,21-25),("Frequency :" ,4,7,10,8,6):}`A. 14.5B. 16.5C. 10.5D. 13.5

Answer» Correct Answer - D
The given distribution is not a continuous Frequency distribution. So, we first convert it into a continuous frequency distribution as given below:
`{:("Class interval :",0.5-5.5,5.5-10.5,10.5-15.5,15.5-20.5,20.5-25.5),("Frequency :" ,4,7,10,8,6):}`
Clearly, 10.5-15.5 is the modal class such that
`l=10.5, f=10,f_(1)=7,f_(2)=8 and h=5.`
`therefore " Mode"=l+(f-f_(1))/(2f-f_(1)-f_(2)) xx h=10.5 + (3)/(5) xx 5=13.5`


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