A software engineer logged the response time, in milliseconds, for seven independent serve… — GRE General Test

A software engineer logged the response time, in milliseconds, for seven independent server requests: $8$ , $16$ , $3$ , $21$ , $14$ , $5$ , and $10$ . What is the median response time, in milliseconds, for these seven requests?

A
$8$
$10$ Answer
C
$11$
D
$14$
E
$21$

Answer

The median response time is

10

milliseconds.

To find the median, first order the seven data points in ascending order:

3, 5, 8, 10, 14, 16, 21

. Since there are

7

values, the median is the middle value at position

\frac{7 + 1}{2} = 4

. The fourth value in this ordered list is

10

Step-by-Step Solution

Arrange the given dataset in ascending order.

The sorted dataset is

3, 5, 8, 10, 14, 16, 21

Finding the median of a numerical dataset requires ordering the values from smallest to largest first.

Determine the position of the median element.

For

n = 7

items, the position is

\frac{7 + 1}{2} = 4

th item.

When the number of observations

n

is odd, the median is the exact middle value located at position

\frac{n+1}{2}

Identify the value at the 4th position.

The 4th value in the sorted list is

10

The 4th element in

3, 5, 8, 10, 14, 16, 21

10

Key Concept

Median of a finite numerical dataset with an odd count

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

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