Question

What is the median of the data set represented by the dot plot?

Enter the answer in the box.

A number line with line with two dots above the number 10, one dot above the number 12, one dot above the number 13, one dot above the number 14, one dot above the number 15, one dot above the number 18, and two dots above the number 19.

Answer 1

14

Explanation:

Step-1: Prepare a table that represents the number of dots above a specific number:

`\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||`

Step-2: Put the values in ascending or descending upon your choice:

`10, 10, 12, 13, 14, 15, 18, 19, 19`

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

`\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}`

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

`10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19`

The median of the dot plot is 14.

Answer 2

• Median is 14

Explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14