Math Problem Statement
The data show the number of hours of television watched per day by a sample of 28 people. Use technology to answer parts (a) and (b) below.
6 8 7 2 0 5 0 8 3 3 2 6 6 4 8 4 8 1 9 3 0 6 6 4 7 3 6 6 Question content area bottom Part 1 a. Find the data set's first, second, and third quartiles. Upper Q 1 equals enter your response here Upper Q 2 equals enter your response here Upper Q 3 equals 6 8 7 2 0 5 0 8 3 3 2 6 6 4 8 4 8 1 9 3 0 6 6 4 7 3 6 6
Solution
The first, second, and third quartiles of the data set are as follows:
- (First Quartile)
- (Second Quartile or Median)
- (Third Quartile)
Would you like further explanation on how these quartiles are calculated or need additional details?
Here are 5 related questions to explore:
- How are quartiles used to measure data spread?
- What is the interquartile range (IQR), and how can we calculate it for this dataset?
- How can outliers be identified using quartiles?
- What is the significance of the median in a dataset?
- How do quartiles compare with percentiles in data analysis?
Tip: Sorting the data is the first step in calculating quartiles and other percentile-based measures.
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Math Problem Analysis
Mathematical Concepts
Statistics
Quartiles
Data Analysis
Formulas
Q1 = lower quartile (25th percentile)
Q2 = median (50th percentile)
Q3 = upper quartile (75th percentile)
Theorems
Quartile Theorem
Suitable Grade Level
Grades 9-12
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