In the data set below, what are the lower quartile, the median, and the upper quartile? 20, 32, 60, 61, 67, 69, 71, 87 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 20, 32, 60, 61, 67, 69, 71, 87. Since there are 8 numbers, the median will be the average of the 4th and 5th numbers. Calculation: (61 + 67) / 2 = 64.Identify the lower quartile: Step 2: Identify the lower quartile. For the lower quartile, consider the first half of the data set: 20, 32, 60, 61. Since there are 4 numbers, the lower quartile is the average of the 2nd and 3rd numbers. Calculation: (32 + 60) / 2 = 46.Identify the upper quartile: Step 3: Identify the upper quartile. For the upper quartile, consider the second half of the data set: 67, 69, 71, 87. Since there are 4 numbers, the upper quartile is the average of the 2nd and 3rd numbers. Calculation: (69 + 71) / 2 = 70.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $20, 32, 60, 61, 67, 69, 71, 87$ $\newline$ 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

20, 32, 60, 61, 67, 69, 71, 87

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $20, 32, 60, 61, 67, 69, 71, 87$ . $\newline$ Since there are $8$ numbers, the median will be the average of the $4$ th and $5$ th numbers. $\newline$ Calculation: $(61 + 67) / 2 = 64$ .
Identify the lower quartile: Step $2$ : Identify the lower quartile. $\newline$ For the lower quartile, consider the first half of the data set: $20, 32, 60, 61$ . $\newline$ Since there are $4$ numbers, the lower quartile is the average of the $2$ nd and $3$ rd numbers. $\newline$ Calculation: $(32 + 60) / 2 = 46$ .
Identify the upper quartile: Step $3$ : Identify the upper quartile. $\newline$ For the upper quartile, consider the second half of the data set: $67, 69, 71, 87$ . $\newline$ Since there are $4$ numbers, the upper quartile is the average of the $2$ nd and $3$ rd numbers. $\newline$ Calculation: $(69 + 71) / 2 = 70$ .