Math Problem Statement
show me the calculations
Solution
Sure, let's go through the calculation for the median step by step.
Given marks:
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Arrange the marks in ascending order:
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Determine the number of data points:
There are 10 data points.
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Identify the median position:
For an even number of data points, the median is the average of the two middle numbers. The middle numbers are the 5th and 6th values in the sorted list.
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Find the middle values:
The 5th value is 75 and the 6th value is 78.
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Calculate the median:
So, the median of the given marks is 76.5.
Would you like any further details or have any other questions? Here are some possible follow-up questions:
- How do you calculate the mean of these marks?
- What is the mode of the given marks?
- Can you provide a box plot for this data set?
- How do you calculate the standard deviation of these marks?
- Can you show the range of the given marks?
Tip: When working with an even number of data points, always remember to average the two middle numbers to find the median.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Median
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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