Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4,...

Consider the following set of numbers: {3, 5, 2, 5, 5, 15, 2, 2, 4, 4, 20, 4998, 4} 14. The Q3 of this set is: a. 4 b. 5 c. 2 d. 10 15. The Q1 of this set is: a. 4 b. 5 c. 2 d. 2.5 e. 3

Solutions

Expert Solution

Solution :

Given data set is {3, 5, 2, 5, 5, 15, 2, 2, 4, 4, 20, 4998, 4}

14. => Answer :- Option d. 10

=> The third quartile(Q3) of the data set is 10.

Explanation :

=> The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

2 2 2 3 4 4 4 5 5 5 15 20 4998

So, the upper half is 5 5 5 15 20 4998

=> The median of these numbers is 10.

15. => Answer :- Option d. 2.5

=> The first quartile(Q1) of the data set is 2.5

Explanation :

=> The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

2 2 2 3 4 4 4 5 5 5 15 20 4998

So, the bottom half is 2 2 2 3 4 4

=> The median of these numbers is 2.5.

orchestra answered 1 year ago

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