2) Find all quartiles for following data:
xi 58 59 60 60 61 62 64 65 66 67
fi 01 03 09 15 18 19 08 05 03 02
Answers
Step-by-step explanation:
Correct option is
D
None of these
The cumulative frequency of the table is a given below:
Weekly
income ( in Rs.)No. of workersCumulative
frequency582259356061161152662103663541644456534866149N = 49
Lower Quartile:
We have 4N=449=12.25
The cumulative frequency just greater than 4N is 26 and the corresponding value of the variable is 61
∴Q1=Rs. 61
Middle Quartile (median):
We have 2N=249=24.5
The cumulative frequency just greater than 2N is 26 and the corresponding value of the variable is 61
∴Q2=Rs. 61
Upper Quartile:
We have 43N=43×49=36.75
The cumulative frequency just greater than 43N is 41 and the corresponding value of the variable is 63
∴Q3=Rs. 63
∴2Q1+Q3=261+63=62
Answer:
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