Exhibit 3-3
A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
-Refer to Exhibit 3-3. The interquartile range is
A)1
B)2
C)10
D)12

Question

Quizplus · Accepted Answer

First, we need to find the median of the sample. Ordering the numbers, we have: 2, 3, 3, 5, 12. The median is 3. Then, we find the first quartile (Q1) and third quartile (Q3). Q1 is the median of the lower half of the data, which is 2 and 3. Therefore, Q1 = 2. Q3 is the median of the upper half of the data, which is 5 and 12. Therefore, Q3 = 12. Finally, we calculate the interquartile range (IQR) by subtracting Q1 from Q3: IQR = Q3 - Q1 = 12 - 2 = 10. Therefore, the answer is B, with an explanation as shown.

Exhibit 3-3 A Researcher Has Collected the Following Sample Data. the Mean