Math Problem Statement
The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, and mode of the listed numbers. 65 58 40 35 60 55 52 46 73 66 What is the mean?
Solution
To calculate the mean, add all the numbers together and then divide by the total count of numbers.
Given dataTo calculate the mean, add all the numbers together and then divide by the total count of numbers.
Given
Step 1: Find the Sum of All Values
Step 2: Count the Total Number of Values
There are 10 values.
Step 3: Calculate the Mean
So, the mean is 55.
Would you like me to find the median and mode as well, or provide further details?
- What is the median of a dataset, and how is it found?
- How do you calculate the mode in a dataset with multiple values?
- What would happen to the mean if we added another value to this dataset?
- Can the mean be lower than the smallest number in a dataset?
- How does an outlier affect the mean of a dataset?
Tip: In a dataset with an even number of values, the median is the average of the two middle numbers.
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Formulas
Mean formula: Mean = Sum of values / Number of values
Median calculation for an even set
Mode: The most frequently occurring value(s)
Theorems
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Suitable Grade Level
Grades 6-8