In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 3, 3, 5, 7, 8 lower quartile = _____ median = _____ upper quartile = _____

Calculate Median: Step 1: Identify the median of the data set 1, 3, 3, 5, 7, 8. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (3 + 5) / 2 = 4.Find Lower Quartile: Step 2: Identify the lower quartile of the data set. The lower quartile is the median of the first half of the data set (1, 3, 3). Calculation: The middle value is 3.Determine Upper Quartile: Step 3: Identify the upper quartile of the data set. The upper quartile is the median of the second half of the data set (5, 7, 8). Calculation: The middle value is 7.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 3, 3, 5, 7, 8$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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Math Problems

Algebra 1

Calculate quartiles and interquartile range

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Q. In the data set below, what are the lower quartile, the median, and the upper quartile?

\newline

1, 3, 3, 5, 7, 8

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Calculate Median: Step $1$ : Identify the median of the data set $1, 3, 3, 5, 7, 8$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(3 + 5) / 2 = 4$ .
Find Lower Quartile: Step $2$ : Identify the lower quartile of the data set. $\newline$ The lower quartile is the median of the first half of the data set $(1, 3, 3)$ . $\newline$ Calculation: The middle value is $3$ .
Determine Upper Quartile: Step $3$ : Identify the upper quartile of the data set. $\newline$ The upper quartile is the median of the second half of the data set $(5, 7, 8)$ . $\newline$ Calculation: The middle value is $7$ .