consider a sample with data values of 10 20 12 17 and 16. compute the range and inter quartile ranger

Question

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Answer 1

Order the data: 10 12 16 17 20. The median is 16. This is Q2.

The median splits the dataset into two {10 12} and {17 20}. Because there is no middle datum for either of these, we need to calculate the medians of the two subsets: Q1=(10+12)/2=11 and Q3=(17+20)/2=18.5.

The interquartile range is Q3-Q1=7.5.

The range is the difference between the highest and lowest data: 20-10=10.

Answer 2

1 st step put in ascending order 10,12,16,17,20 2 Nd step find range lg#-sm# 20-10=10
3rd find q1 &q3 q1{10,12} and q3{17,20}4 th take median of q1=12 q3=17

IQR=Q3-Q1   17-12=5

Range:10 IQR=5