In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 2, 5, 5, 6, 6, 7 lower quartile = _____ median = _____ upper quartile = _____

Identify Median: Step 1: Identify the median of the data set 1, 2, 5, 5, 6, 6, 7. Since there are 7 numbers, the median is the fourth number. Calculation: The fourth number is 6.Identify Lower Quartile: Step 2: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median. First half is 1, 2, 5, 5. Calculation: The median of 1, 2, 5, 5 is the average of the second and third numbers. 2 + 5 = 7 7 / 2 = 3.5

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 2, 5, 5, 6, 6, 7$ $\newline$ 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, 2, 5, 5, 6, 6, 7

\newline

lower quartile

=

\_\_\_\_

\newline

median

=

\_\_\_\_

\newline

upper quartile

=

\_\_\_\_

Identify Median: Step $1$ : Identify the median of the data set $1, 2, 5, 5, 6, 6, 7$ . Since there are $7$ numbers, the median is the fourth number. Calculation: The fourth number is $6$ .
Identify Lower Quartile: Step $2$ : Identify the data set for the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set, excluding the median. $\newline$ First half is $1, 2, 5, 5$ . $\newline$ Calculation: The median of $1, 2, 5, 5$ is the average of the second and third numbers. $\newline$ $2 + 5 = 7$ $\newline$ $7 / 2 = 3.5$