Question

the center of a set of data can be described using the median and the spread of a set of data can be described using the range
match the correct answer with each statement or question.
the median of the set {0, 0, 4, 6, 6, 8} is ____.
the range of the set {0, 0, 4, 6, 6, 8} is ____.
how many modes does the set {0, 0, 4, 6, 6, 8} have?
the median of the set {2, 8, 4, 10, 7, 3, 1} is ____.
the range of the set {2, 8, 4, 10, 7, 3, 1} is ____.
how many modes does the set {2, 8, 4, 10, 7, 3, 1} have?
2 0 5 8 9 4

Explanation:

Step1: Find median of {0,0,4,6,6,8}

Data is ordered. Average 3rd/4th values: $\frac{4+6}{2}=5$

Step2: Find range of {0,0,4,6,6,8}

Subtract min from max: $8-0=8$

Step3: Count modes of {0,0,4,6,6,8}

0 and 6 repeat twice: 2 modes

Step4: Find median of {2,8,4,10,7,3,1}

Order data: {1,2,3,4,7,8,10}. 4th value = 4

Step5: Find range of {2,8,4,10,7,3,1}

Subtract min from max: $10-1=9$

Step6: Count modes of {2,8,4,10,7,3,1}

All values unique: 0 modes

Answer:

The median of the set {0, 0, 4, 6, 6, 8} is $\boldsymbol{5}$
The range of the set {0, 0, 4, 6, 6, 8} is $\boldsymbol{8}$
How many modes does the set {0, 0, 4, 6, 6, 8} have? $\boldsymbol{2}$
The median of the set {2, 8, 4, 10, 7, 3, 1} is $\boldsymbol{4}$
The range of the set {2, 8, 4, 10, 7, 3, 1} is $\boldsymbol{9}$
How many modes does the set {2, 8, 4, 10, 7, 3, 1} have? $\boldsymbol{0}$