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The mode of the following distribution i...

The mode of the following distribution is
{("Class interval",f),(" "1-5,4),(" "6-10,7),(" "11-15,10),(" "16-20,8),(" "21-25,6):}

A

14.5

B

16.5

C

10.5

D

13.5

Text Solution

Verified by Experts

The correct Answer is:
`D`
(i) Mode `= L + (Delta_(1) C)/(Delta_(1) + Delta_(2))`
(ii) Identify `f_(1), f_(2) "and" L`
(iii) Mode `= L + (Delta_(1))/(Delta_(1) + Delta_(2)) xx C ("where" D_(1) = f - f_(1) "and" D_(2) = f - f_(2))`
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Find the AM of the following data by short-cut method. {:("Class Interval",f),(" "1-5,5),(" "6-10,10),(" "11-15,15),(" "16-20,10),(" "21-25,5):}

The mean of the following data is {("Class interval",f),(" "10-15,5),(" "15-20,7),(" "20-25,3),(" "25-30,4),(" "30-35,8):}

Draw a histogram for the following data: {:("Class Interval",f),(" "0-5,2),(" "5-10,10),(" "10-15,8),(" "15-20,6),(" "20-25,4):}

The median of the following frequency distribution is {:("Class interval",f),(" "0-10,5),(" "10-20,8),(" "20-30,7),(" "30-40,10),(" "40-50,20):}

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):}

Find the mean deviation (approximately) about the mean for the following. {:("Class interval",f),(" "0-5,3),(" "5-0,4),(" "10-15,8),(" "15-20,10),(" "20-25,5):}

Find the mean of the following continuous distribution. {("Class Interval",f),(" "0-10,8),(" "10-20,4),(" "20-30,6),(" "30-40,3),(" "40-50,4):}

Draw the frequency polygon for the following data by drawing a histogram: {:("Class Interval",f),(" "0-5,10),(" "5-10,20),(" "10-15,15),(" "15-20,30),(" "20-25,32),(" "25-30,44):}

Find the approximate value of mean deviation about the mode of the following data. {:("Class Interval",f),(" "0-10,4),(" "10-20,6),(" "20-30,3),(" "30-40,9),(" "40-50,5):}

Find the median of the following data. {:("Class Interval",f),(" "0-4,3)(" "4-8,6)(" "8-12,6),(" "12-16,6),(" "16-20,8):}

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