Chapter 2: Q64. (page 80)

PREREQUISITE SKILL Find the median of each set of numbers.
64. $\{3, 2, 1, 3, 4, 8, 4\}$

Short Answer

Expert verified

The median of the given set of numbers is 3.

Step by step solution

– State the formula

The median of a set of $n$ numbers arranged in ascending order, is $(\frac{n + 1}{2}) th$ number in the set if $n$ is odd and $\frac{(\frac{n}{2}) th number + (\frac{n}{2} + 1) th number}{2}$ if $n$ is even.

– List the given data

The given set of numbers is $\{3, 2, 1, 3, 4, 8, 4\}$ .

– Calculate n

Counting, it is found that there are $7$ numbers in the given set. Then, $n = 7$ .

– Arrange in ascending order

Arranging the given set of numbers in ascending order,

$\{1, 2, 3, 3, 4, 4, 8\}$

– Find the median

Here, $n = 7$ . So, $n$ is odd.

Put $n = 7$ in $(\frac{n + 1}{2}) th number$ to get,

$(\frac{7 + 1}{2}) th number$

$(\frac{8}{2}) th number$

$4th number$

The $4th number$ in the given set after it is arranged in ascending order is 3.

So, the median of the given set of numbers is 3.

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PREREQUISITE SKILL Find the median of each set of numbers.
64. $\{3, 2, 1, 3, 4, 8, 4\}$

Short Answer

Step by step solution

– State the formula

– List the given data

– Calculate n

– Arrange in ascending order

– Find the median

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PREREQUISITE SKILL Find the median of each set of numbers.64. 3,2,1,3,4,8,4

Short Answer

Step by step solution

– State the formula

– List the given data

– Calculate n

– Arrange in ascending order

– Find the median

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

PREREQUISITE SKILL Find the median of each set of numbers.
64. $\{3, 2, 1, 3, 4, 8, 4\}$