Math Problem Statement
Question content area top
Part 1
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.
5353
6868
7070
6767
7676
3838
3030
6161
4242
3535
Question content area bottom
Part 1
What is the mean? Select the correct choice below and, if necessary, fill in the answer box within your choice.
A.
The mean is
enter your response here.
(Round to one decimal place as needed.)
B.
There is no mean.
Solution
To find the mean of the listed numbers, follow these steps:
-
List the numbers:
- 53, 68, 70, 67, 76, 38, 30, 61, 42, 35
-
Add all the numbers together:
-
Count the total number of values:
- There are 10 numbers.
-
Calculate the mean:
So, the mean is 54.0.
Answer:
A. The mean is 54.0 (rounded to one decimal place).
Would you like to explore the median and mode, or have any other questions?
Here are 5 questions to deepen your understanding:
- What is the formula for finding the median of a data set?
- How does the mode differ from the mean and median?
- Why might there be no mode in a data set?
- How does the size of a sample affect the mean?
- What are some situations where the median is more useful than the mean?
Tip: Always arrange numbers in order when calculating the median!
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Mode
Formulas
Mean = (Sum of the numbers) / (Number of values)
Median: Middle value of an ordered data set
Mode: Most frequently occurring value in a data set
Theorems
-
Suitable Grade Level
Grades 6-8