Answer to Question #149268 in Statistics and Probability for priya

Question #149268
Calculate the Median and Mode from the following data:
Annual Sales(Rs.000) Frequency
Less than 10 4
Less than 20 20
Less than 30 35
Less than 40 55
Less than 50 62
Less than 60 67
1
Expert's answer
2020-12-10T13:02:35-0500

Solution

Median:

Median=L+(N2cff)iMedian= L+( {{N \over 2}-cf \over f})*i

N2=672=33.5 {N \over 2}= {67 \over 2}= 33.5 \space \therefore the median class is 20-29


Median=19.5+(6722015)10Median = 19.5+ ({{67 \over 2} - 20 \over 15})*10


=28.5

=Rs 28500


Mode:

Mode=L+(f1f02f1f0f1)iMode = L+({f_1-f_0 \over 2f_1-f_0-f_1})*i

30-39 is the modal class since it has the highest frequency


Mode=19.5+(20152(20)157)10Mode= 19.5+({20-15 \over 2(20)-15-7})*10

=29.5+2.77778=29.5+2.77778

=32.27778

=Rs. 32277.8


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