Question

1. what is the median of the dataset 1, 4, 5, 9, 11?

6
5

1. what is the median of the dataset 4, 3, 2, 6, 7?

2
4

1. what is the median of the dataset 2, 3, 5, 18?

3
4
5
7

1. what is the median of the dataset -1, -5, -3, 6, 7?

-3
-5
-1

Explanation:

Step1: Check sorted dataset (Q1)

Dataset is already sorted: $1, 4, 5, 9, 11$

Step2: Find middle value (Q1)

For $n=5$ (odd), median is 3rd value: $5$

Step3: Sort dataset (Q2)

Sorted dataset: $2, 3, 4, 6, 7$

Step4: Find middle value (Q2)

For $n=5$ (odd), median is 3rd value: $4$

Step5: Sort dataset (Q3)

Dataset is already sorted: $2, 3, 5, 18$

Step6: Calculate median (Q3)

For $n=4$ (even), median = $\frac{3+5}{2}=4$

Step7: Sort dataset (Q4)

Sorted dataset: $-5, -3, -1, 6, 7$

Step8: Find middle value (Q4)

For $n=5$ (odd), median is 3rd value: $-1$

Answer:

1. 5
2. 4
3. 4
4. -1