Question 1110538
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The answer is choice B) 2


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Explanation:


Given Data Set = {2.5, 3, 2.7, 1.5, 2, 3.2, 4, 4.3, 1.7, 4.1}
Sorted Data Set = {1.5, 1.7, 2, 2.5, 2.7, 3, 3.2, 4, 4.1, 4.3}


I'm going to mark the middle most values in <font color=red>red</font> of the sorted set
{1.5, 1.7, 2, 2.5, <font color=red>2.7, 3</font>, 3.2, 4, 4.1, 4.3}
The middle values happen to be two values as there are an even number of items in this set
The median is the midpoint of 2.7 and 3. 
The median is 2.85. 
We find this by averaging 2.7 and 3. So add them up and divide by 2: (2.7+3)/2 = 5.7/2 = 2.85


Now break the sorted list into two halves. The lower half looks like
L = {1.5, 1.7, 2, 2.5, 2.7}
and the upper half is 
U = {3, 3.2, 4, 4.1, 4.3}


The lower half of values L = {1.5, 1.7, 2, 2.5, 2.7} are all below the median 2.85


Locate the median of list L. The middle most value here is 2. 
So the first quartile is 2. This is the value of the 25th percentile which coincides with the first quartile (Q1).
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