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zhannawk [14.2K]
3 years ago
10

Given the following computer printout for a set of sample data, which one of the following represents the value of the Interquar

tile Range?
Descriptive Statistics: Cycle Time
Variable N Mean StDev Variance Minimum Q1 Median Q3 Maximum
Cycle Time 52 31.808 5.333 28.436 21.700 27.825 31.000 36.075 44.000
A. 22.3
B. 3.175
C. 5.075
D. 8.25
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer: D. 8.25

Step-by-step explanation: A data set can be divided into 4 equal parts, called <u>Quartile</u>. A quartile divides the data into three points:

  • Lower quartile: Q1;
  • Median: Q2;
  • Upper quartile: Q3;

<u>Interquartile</u> <u>Range</u> (IQR) is a measure of variability based on data divided into quartiles or the measure of where the bulk of the values are.

To calculate interquartile range:

IQR = Q3 - Q1

The table shows Q1 = 27.825 and Q3 = 36.075, then

IQR = 36.075 - 27.825

IQR = 8.25

<u>The value of interquartile range is 8.25.</u>

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