MATH SOLVE

3 months ago

Q:
# Which data set has the greatest spread for the middle 50% of its data? A. {18, 13, 22, 17, 21, 24} B. {17, 19, 22, 26, 17, 14} C. {13, 17, 12, 21, 18, 20} D. {18, 21, 16, 22, 24, 15}

Accepted Solution

A:

Answer:The answer is (c) {13, 17, 12, 21, 18, 20}.Step-by-step explanation: The given data sets are:{18, 13, 22, 17, 21, 24},{17, 19, 22, 26, 17, 14},{13, 17, 12, 21, 18, 20}and{18, 21, 16, 22, 24, 15}.To find the greatest spread for the middle 50%, we need to find the Interquartile range for all the data sets and check which one is highest.For first set, Interquartile range (IQR) = 22 - 17 = 5.For second set, IQR = 22 - 17 = 5.For third set, IQR = 20 - 13 = 7andfor fourth set, IQR = 22 - 16 = 6.Since IQR is highest for the third data, so the correct option is (c) Β {13, 17, 12, 21, 18, 20}.Hope it helps Mark as brainliest