In the data set below, what are the lower quartile, the median, and the upper quartile? 2, 2, 3, 4, 5, 7, 7, 7, 9, 9 lower quartile = _____ median = _____ upper quartile = _____

Identify the Median: Step 1: Identify the median of the data set 2, 2, 3, 4, 5, 7, 7, 7, 9, 9. Since there are 10 data points, the median will be the average of the 5th and 6th values. 5th value = 5, 6th value = 7. (5 + 7) / 2 = 6. Median = 6 Determine Lower Quartile: Step 2: Determine the lower quartile. Consider the first half of the data set for the lower quartile: 2, 2, 3, 4, 5. Since there are 5 data points, the lower quartile is the middle value, which is 3. Lower quartile = 3 Determine Upper Quartile: Step 3: Determine the upper quartile. Consider the second half of the data set for the upper quartile: 7, 7, 7, 9, 9. Since there are 5 data points, the upper quartile is the middle value, which is 7. Upper quartile = 7

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $2, 2, 3, 4, 5, 7, 7, 7, 9, 9$ $\newline$ 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

2, 2, 3, 4, 5, 7, 7, 7, 9, 9

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the Median: Step $1$ : Identify the median of the data set $2, 2, 3, 4, 5, 7, 7, 7, 9, 9$ . Since there are $10$ data points, the median will be the average of the $5$ th and $6$ th values. $5$ th value = $5$ , $6$ th value = $7$ . $(5 + 7) / 2 = 6$ . Median = $6$
Determine Lower Quartile: Step $2$ : Determine the lower quartile. $\newline$ Consider the first half of the data set for the lower quartile: $2, 2, 3, 4, 5$ . $\newline$ Since there are $5$ data points, the lower quartile is the middle value, which is $3$ . $\newline$ Lower quartile $= 3$
Determine Upper Quartile: Step $3$ : Determine the upper quartile. $\newline$ Consider the second half of the data set for the upper quartile: $7, 7, 7, 9, 9$ . $\newline$ Since there are $5$ data points, the upper quartile is the middle value, which is $7$ . $\newline$ Upper quartile $= 7$