Find the mean, median, and mode of the following data: 12 16 15 12 16 Mean = 10 11 18 O Mean = 12, Median = 13.3, Mode = 12 O Mean = 13.3, Median = 12, No mode 13.3, Median = 12, Mode = 12 19 12 11 9 12
Find the mean, median, and mode of the following data: 12 16 15 12 16 Mean = 10 11 18 O Mean = 12, Median = 13.3, Mode = 12 O Mean = 13.3, Median = 12, No mode 13.3, Median = 12, Mode = 12 19 12 11 9 12
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Finding the Mean, Median, and Mode
Given the following dataset:
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline
12 & 15 & 16 & 11 & 18 & 19 & 12 & 11 & 9 & 12 \\
\hline
16 & 12 & 10 & & & & & & & \\
\hline
\end{array}
\]
We need to find the mean, median, and mode of the above data.
### Options:
- Option 1: Mean = 12, Median = 13.3, Mode = 12
- Option 2: Mean = 13.3, Median = 12, No mode
- Option 3: Mean = 13.3, Median = 12, Mode = 12
### Explanation:
#### 1. Mean:
To calculate the mean, sum all the data points and divide by the number of points.
\[
\text{Mean} = \frac{12 + 15 + 16 + 11 + 18 + 19 + 12 + 11 + 9 + 12 + 16 + 12 + 10}{13} = \frac{173}{13} = 13.3
\]
#### 2. Median:
To find the median, order the data points from smallest to largest and determine the middle value.
Ordered dataset: 9, 10, 11, 11, 12, 12, 12, 12, 15, 16, 16, 18, 19
Since there are 13 data points (odd number), the median is the 7th value in the ordered list:
\[
\text{Median} = 12
\]
#### 3. Mode:
The mode is the value that appears most frequently in the dataset.
In this dataset, the value 12 appears the most frequently (4 times).
\[
\text{Mode} = 12
\]
### Correct Answer:
- Mean = 13.3, Median = 12, Mode = 12
The correct option is:
\[
\text{Option 3: Mean = 13.3, Median = 12, Mode = 12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5c64e77-7d7b-449b-b4a7-80afee3ada2e%2F6211b124-788e-4364-b563-c780ec4aace3%2Fu98sy2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Finding the Mean, Median, and Mode
Given the following dataset:
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline
12 & 15 & 16 & 11 & 18 & 19 & 12 & 11 & 9 & 12 \\
\hline
16 & 12 & 10 & & & & & & & \\
\hline
\end{array}
\]
We need to find the mean, median, and mode of the above data.
### Options:
- Option 1: Mean = 12, Median = 13.3, Mode = 12
- Option 2: Mean = 13.3, Median = 12, No mode
- Option 3: Mean = 13.3, Median = 12, Mode = 12
### Explanation:
#### 1. Mean:
To calculate the mean, sum all the data points and divide by the number of points.
\[
\text{Mean} = \frac{12 + 15 + 16 + 11 + 18 + 19 + 12 + 11 + 9 + 12 + 16 + 12 + 10}{13} = \frac{173}{13} = 13.3
\]
#### 2. Median:
To find the median, order the data points from smallest to largest and determine the middle value.
Ordered dataset: 9, 10, 11, 11, 12, 12, 12, 12, 15, 16, 16, 18, 19
Since there are 13 data points (odd number), the median is the 7th value in the ordered list:
\[
\text{Median} = 12
\]
#### 3. Mode:
The mode is the value that appears most frequently in the dataset.
In this dataset, the value 12 appears the most frequently (4 times).
\[
\text{Mode} = 12
\]
### Correct Answer:
- Mean = 13.3, Median = 12, Mode = 12
The correct option is:
\[
\text{Option 3: Mean = 13.3, Median = 12, Mode = 12
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