Consider the following list of numbers representing test scores of seven students: 15, 4, … — JAMB UTME

Consider the following list of numbers representing test scores of seven students: $15$ , $4$ , $22$ , $9$ , $19$ , $2$ , and $13$ . What is the median of this data set?

A
$9$
B
$12$
$13$ Answer
D
$15$

Answer

The median of the data set is

13

First arrange the numbers in ascending order:

2, 4, 9, 13, 15, 19, 22

. Since there are

7

numbers, the median is the middle (

4\text{th}

) number, which is

13

Step-by-Step Solution

Arrange the given numbers in ascending order.

The ordered data set is

2, 4, 9, 13, 15, 19, 22

To find the median of ungrouped data, the values must first be placed in numerical order.

Determine the position of the median for

n = 7

items.

Position =

\frac{n + 1}{2} = \frac{7 + 1}{2} = 4\text{th}

value.

For an odd number of observations

n

, the median is the

\frac{n+1}{2}\text{th}

term.

Identify the 4th value from the ordered list.

The 4th value is

13

Counting from the smallest value,

2

is 1st,

4

is 2nd,

9

is 3rd, and

13

is 4th.

Key Concept

Median of Ungrouped Data

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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