Find the median number of books read. A survey of 50 students shows that 30 students like math, 20 students like science, and 10 students like both math and science. How many stude... Find the median number of books read. A survey of 50 students shows that 30 students like math, 20 students like science, and 10 students like both math and science. How many students like only math? A data set consists of the following numbers: 5, 10, 10, 15, 20. What is the range of the data set?
Understand the Problem
The question is seeking to find the median number of books read by analyzing given survey data. Additionally, it involves calculating how many students like only math based on survey responses and finding the range of a given data set.
Answer
Specific numerical answers depend on the provided survey data.
Answer for screen readers
The final answers will depend on the specific numbers provided from the survey data, which aren't included in the question.
Steps to Solve
- Find the Median of Books Read
To calculate the median, first arrange the numbers of books read in ascending order. The median is the middle value in a sorted list. If there is an even number of observations, the median is the average of the two middle numbers.
- Count Students Who Like Only Math
Use the survey responses to determine the number of students who only indicated that they like math. This might be given directly or may require subtracting those who like both math and another subject.
- Calculate the Range
To find the range of a data set, subtract the minimum value from the maximum value. If the data set is $[a_1, a_2, \ldots, a_n]$, then the range is calculated as:
$$ \text{Range} = \max(a_1, a_2, \ldots, a_n) - \min(a_1, a_2, \ldots, a_n) $$
The final answers will depend on the specific numbers provided from the survey data, which aren't included in the question.
More Information
The median is a useful measure of central tendency that is not affected by outliers, making it suitable for unevenly distributed data. The range gives a simple measure of the spread of the data.
Tips
- Failing to sort the data before finding the median can lead to incorrect results.
- Miscounting students who like only math by not properly considering overlapping categories can lead to inaccuracies.
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