Question

question 12 1 pts what is the five - number summary for the data set? 340 245 322 766 88 455 160 244 483 610 527 min: 88, q1: 244, med: 385, q3: 527, max: 766 min: 340, q1: 322, med: 455, q3: 483, max: 527 min: 88, q1: 244, med: 455, q3: 527, max: 766 min: 88, q1: 244, med: 340, q3: 527, max: 766

Explanation:

Step1: Sort the data set

First, sort the data set \(88,160,244,245,322,340,455,483,527,610,766\) in ascending - order.

Step2: Find the minimum

The minimum value (min) of the sorted data set is \(88\).

Step3: Find the first - quartile (Q1)

The data set has \(n = 11\) values. The position of Q1 is \(\frac{n + 1}{4}=\frac{11+1}{4}=3\). So, Q1 is the 3rd value in the sorted data set, which is \(244\).

Step4: Find the median (med)

The position of the median for \(n = 11\) values is \(\frac{n + 1}{2}=\frac{11 + 1}{2}=6\). So, the median is the 6th value in the sorted data set, which is \(340\).

Step5: Find the third - quartile (Q3)

The position of Q3 is \(\frac{3(n + 1)}{4}=\frac{3\times(11 + 1)}{4}=9\). So, Q3 is the 9th value in the sorted data set, which is \(527\).

Step6: Find the maximum

The maximum value (max) of the sorted data set is \(766\).

Answer:

min: 88, Q1: 244, med: 340, Q3: 527, max: 766