Question

1. christian played uno and had the following scores over six rounds. {7,25,15,20,13,5}

iqr____ median____
q1____ q3____
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Explanation:

Step1: Sort the data

$[5,7,13,15,20,25]$

Step2: Find the median

Since $n = 6$ (even), median is average of 3rd and 4th values. Median$=\frac{13 + 15}{2}=14$

Step3: Find Q1

Lower - half is $[5,7,13]$, Q1 is the middle value of lower - half, so Q1 = 7

Step4: Find Q3

Upper - half is $[15,20,25]$, Q3 is the middle value of upper - half, so Q3 = 20

Step5: Calculate IQR

IQR=Q3 - Q1, so IQR = 20 - 7=13

Answer:

IQR: 13
Median: 14
Q1: 7
Q3: 20