Math Problem Statement

2 4 4 6 7 8 what is the first quartile

Solution

To find the first quartile (Q1) of a data set, you first need to arrange the data in ascending order, then use the following steps:

1. Arrange the data in order:

2,4,4,6,7,82, 4, 4, 6, 7, 8

2. Find the first quartile (Q1):

The first quartile (Q1) is the median of the lower half of the data. Exclude the overall median if the total number of data points is odd.

Since there are 6 data points (an even number), we split the data into two halves:

  • Lower half: 2,4,42, 4, 4
  • Upper half: 6,7,86, 7, 8

The median of the lower half is the second number in this list, which is 4.

Therefore, the first quartile (Q1) is 4.

Would you like more details on quartiles or anything else?

Here are 5 related questions:

  1. What is the median of this dataset?
  2. How do you calculate the third quartile (Q3)?
  3. Can you explain the interquartile range (IQR) for this dataset?
  4. How would you calculate the quartiles for a larger dataset?
  5. What are the steps to find the quartiles for a set of odd numbers?

Tip: Quartiles divide your data into four equal parts, with Q1 marking the first 25% of the data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Quartiles
Data Analysis

Formulas

First Quartile (Q1) formula: Q1 = Median of the lower half of the dataset

Theorems

Quartile Theorem: Quartiles divide a data set into four equal parts

Suitable Grade Level

Grades 6-8