Question
A statetics student gave a survey to students which asked how many first cousins they have. The dala from the first nine responses are shown below. 6,2,7,8,8,8,5,10,10 What is the IOR of the data? 252 first counins 3 first cousins 3.5 first cousins 8 first cousins
Solution
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AmeliaVeteran · Tutor for 12 years
Answer
### 3.5 first cousins
Explain
## Step 1: Order the Data<br />### Arrange the given data in ascending order: 2, 5, 6, 7, 8, 8, 8, 10, 10.<br /><br />## Step 2: Find the Quartiles<br />### Find the median (Q2): The middle value is 8.<br />### Find the first quartile (Q1): The median of the lower half (2, 5, 6, 7) is $\frac{5+6}{2} = 5.5$.<br />### Find the third quartile (Q3): The median of the upper half (8, 8, 10, 10) is $\frac{8+10}{2} = 9$.<br /><br />## Step 3: Calculate the IQR<br />### The interquartile range (IQR) is the difference between the third and first quartiles: IQR = Q3 - Q1 = $9 - 5.5 = 3.5$.
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