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Identify the median in each odd-numbered data set.

1) Data Set 1: [tex]3, 4, 4, 5, 8, 8, 9, 10, 11[/tex]

Median: [tex]8[/tex]

2) Data Set 2: [tex]3, 4, 4, 5, 8, 8, 9, 10, 11[/tex]

Median: [tex]8[/tex]

Sagot :

GinnyAnsweridn
Sure, let's address the problem step by step for the given data set [tex]\( 3, 4, 4, 5, 8, 8, 9, 10, 11 \)[/tex].

### Step-by-Step Solution:

1. List the Data Set:
The given data set is [tex]\( 3, 4, 4, 5, 8, 8, 9, 10, 11 \)[/tex].

2. Determine the Median:
Since the data set is already arranged in ascending order and it contains 9 elements (an odd number), the median is the middle value.

Breaking the data set into individual elements:
[tex]\[ 3, 4, 4, 5, 8, 8, 9, 10, 11 \][/tex]
The middle value (5th element) is 8.
Hence, the median of the data set is 8.

3. Split the Data Set:
We then split the data into two parts:

- The left part consists of all elements before the median.
- The right part consists of all elements after the median.

When we divide [tex]\( 3, 4, 4, 5, 8, 8, 9, 10, 11 \)[/tex] as per the median:
- Left part: [tex]\( 3, 4, 4, 5 \)[/tex]
- Median: [tex]\( 8 \)[/tex]
- Right part: [tex]\( 8, 9, 10, 11 \)[/tex]

### Result:
Therefore, the final result of the problem can be expressed as:

[tex]\[ \left( [3, 4, 4, 5], 8, [8, 9, 10, 11] \right) \][/tex]

This correctly represents the data set split into the left part, median, and right part.
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