Math Problem Statement
Find the mean medeal
Find the mean median based on the table of data.
Solution
To calculate the mean and median from the table in the image, I'll first extract the numbers presented:
The table of values is:
1 & 3 & 6 & 1 & 12 & 11 \\ 2 & 5 & 7 & 5 & 14 & 9 \\ 5 & 1 & 8 & 3 & 18 & 9 \\ 6 & 3 & 8 & 18 & 3 & 8 \\ 8 & 2 & 6 & 15 & 6 & 7 \\ \end{matrix}$$ ### Mean: The mean is calculated by adding all the numbers together and dividing by the total number of elements. **Step 1**: Sum all the numbers: $$1 + 3 + 6 + 1 + 12 + 11 + 2 + 5 + 7 + 5 + 14 + 9 + 5 + 1 + 8 + 3 + 18 + 9 + 6 + 3 + 8 + 18 + 3 + 8 + 8 + 2 + 6 + 15 + 6 + 7 = 201$$ **Step 2**: Count the total number of elements: There are 5 rows and 6 columns, so $$5 \times 6 = 30$$ elements. **Step 3**: Calculate the mean: $$\text{Mean} = \frac{201}{30} = 6.7$$ ### Median: To find the median, we need to arrange the numbers in order and find the middle value. **Step 1**: Arrange the values in ascending order: $$1, 1, 1, 2, 2, 3, 3, 3, 3, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 9, 11, 12, 14, 15, 18, 18$$ **Step 2**: Find the middle value: There are 30 numbers, so the median is the average of the 15th and 16th numbers: The 15th number is 6, and the 16th number is 6. So the median is: $$\frac{6 + 6}{2} = 6$$ ### Results: - **Mean**: 6.7 - **Median**: 6 Let me know if you'd like more details or further clarifications! Here are some related questions: 1. How do you calculate the mode in a dataset? 2. Can you calculate the range from the same dataset? 3. What is the variance of this dataset? 4. How do you calculate the standard deviation from the variance? 5. How would the mean change if one outlier was introduced? **Tip**: The median is a great measure of central tendency when the data has outliers, as it is not affected by extreme values like the mean is!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Formulas
Mean formula: (sum of all values) / (number of values)
Median calculation for an even number of elements
Theorems
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Suitable Grade Level
Grades 6-8