type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar…

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. this data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days. {10, 9, 6, 12, 4, 6, 7, 8, 15, 14, 12, 9, 10, 5} the difference of the values of the first and third quartiles of the data set is

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. this data set represents the number of cups of coffee sold in a café between 8 a.m. and 10 a.m. every day for 14 days. {10, 9, 6, 12, 4, 6, 7, 8, 15, 14, 12, 9, 10, 5} the difference of the values of the first and third quartiles of the data set is

Answer

Explanation:

Step1: Sort the data set

[4,5,6,6,7,8,9,9,10,10,12,12,14,15]

Step2: Find the median (Q2)

Since (n = 14) (even), (Q2=\frac{9 + 9}{2}=9)

Step3: Find the lower - half data set

The lower - half data set is [4,5,6,6,7,8,9], and its median (Q1) is (6)

Step4: Find the upper - half data set

The upper - half data set is [9,10,10,12,12,14,15], and its median (Q3) is (12)

Step5: Calculate the inter - quartile range

(Q3 - Q1=12 - 6 = 6)

Answer:

6