Given the following data set:
1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5
How many numbers are in the lower quartile?
Share
Given the following data set:
1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,5
How many numbers are in the lower quartile?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
To determine the lower quartile of a data set, we need to first order the values from least to greatest.
1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5
The median of the entire data set is the value that separates the lower 50% from the upper 50% of the values. In this case, the median is 4.
Next, we need to find the median of the lower half of the data set, which includes all values less than or equal to 4.
1, 2, 2, 3, 3, 3, 4, 4, 4, 4
The median of this lower half is 3. Therefore, there are 6 numbers (out of a total of 15) in the lower quartile, which is the set of values less than or equal to the lower median.