In the data set below, what are the lower quartile, the median, and the upper quartile? 1, 3, 4, 6, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify Median Calculation: Step 1: Identify the median of the data set 1, 3, 4, 6, 9, 9. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (4 + 6) / 2 = 5.Lower Quartile Data Set: 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 if necessary. First half is 1, 3, 4.Find Lower Quartile Value: Step 3: Find the value of the lower quartile. Since there are 3 numbers in the first half, the lower quartile is the 2nd number. Lower quartile is 3.Upper Quartile Data Set: Step 4: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if necessary. Second half is 6, 9, 9.Find Upper Quartile Value: Step 5: Find the value of the upper quartile. Since there are 3 numbers in the second half, the upper quartile is the 2nd number. Upper quartile is 9.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1, 3, 4, 6, 9, 9$ $\newline$ lower quartile $=$ $\_\_$ $\newline$ median $=$ $\_\_$ $\newline$ upper quartile $=$ $\_\_$

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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, 4, 6, 9, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median Calculation: Step $1$ : Identify the median of the data set $1, 3, 4, 6, 9, 9$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(4 + 6) / 2 = 5$ .
Lower Quartile Data Set: 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 if necessary. $\newline$ First half is $1$ , $3$ , $4$ .
Find Lower Quartile Value: Step $3$ : Find the value of the lower quartile. $\newline$ Since there are $3$ numbers in the first half, the lower quartile is the $2$ nd number. $\newline$ Lower quartile is $3$ .
Upper Quartile Data Set: Step $4$ : Identify the data set for the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set, excluding the median if necessary. $\newline$ Second half is $6, 9, 9$ .
Find Upper Quartile Value: Step $5$ : Find the value of the upper quartile. $\newline$ Since there are $3$ numbers in the second half, the upper quartile is the $2$ nd number. $\newline$ Upper quartile is $9$ .