There are 5 numbers in a set of data. There are no repeated numbers. Which measure of data must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers?
A. Median
B. Mean
C. Mode
D. Range
Can someone please explain how to solve this and get the correct answer???
Study this site.
http://www.regentsprep.org/regents/math/algebra/AD2/measure.htm
What answer did you find?
Yes, median is correct.
Is it Median??
is the answer A. Median Ms. Sue?
Mean
To solve this question, we need to understand what each measure of data represents and then determine which one satisfies the given condition.
1. Median: The median is the middle value of a set of data when arranged in order from least to greatest. It divides the data into two halves. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.
2. Mean: The mean is the average value of a set of data. It is calculated by adding up all the values in the set and dividing by the total number of values.
3. Mode: The mode is the value that occurs most frequently in a set of data. A set of data can have no mode, one mode, or multiple modes.
4. Range: The range is the difference between the largest and smallest values in a set of data. It gives an indication of the spread or variability of the data.
Now, let's analyze the condition in the question: "a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers."
To satisfy this condition, we need a measure of data that is not influenced by extreme values and is positioned between the upper and lower halves of the data.
The measure of data that meets this requirement is the median. The median divides the data into two halves, so it falls within the range of values without being biased by extreme values. It will always be greater than 2 numbers and less than 2 numbers in the set.
Therefore, the correct answer is A. Median.