Question

the following four sets of 7 numbers all have a mean of 9. complete parts (a) through (d) below. {9,9,9,9,9,9,9} , {8,8,9,9,9,10,10} , {6,6,6,9,12,12,12} , {4,4,4,9,14,14,14} give the five - number summary for set {6,6,6,9,12,12,12}. low value = \square lower quartile = \square median = \square upper quartile = \square high value = \square

Explanation:

Step1: Identify Low and High Values

The set is {6,6,6,9,12,12,12}. The smallest number (low value) is 6, and the largest (high value) is 12.

Step2: Find Median (Middle Value)

With 7 numbers, the median is the 4th value. Ordering the set (already ordered), the 4th value is 9.

Step3: Calculate Lower Quartile (Q1)

The lower half is {6,6,6} (first 3 values). The median of this half is the 2nd value, which is 6.

Step4: Calculate Upper Quartile (Q3)

The upper half is {12,12,12} (last 3 values). The median of this half is the 2nd value, which is 12.

Answer:

low value = 6
lower quartile = 6
median = 9
upper quartile = 12
high value = 12