In the data set below, what are the lower quartile, the median, and the upper quartile? 14, 24, 32, 47, 55, 69, 70, 70, 86, 92 lower quartile = _____ median = _____ upper quartile = _____

Identify the median: Step 1: Identify the median of the data set. Data set: 14, 24, 32, 47, 55, 69, 70, 70, 86, 92. Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. Calculation: (55 + 69) / 2 = 62.Identify lower quartile data: 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: 14, 24, 32, 47, 55.Find lower quartile value: Step 3: Find the value of the lower quartile. The lower quartile is the median of the first half. Calculation: The middle number in 14, 24, 32, 47, 55 is 32.Identify upper quartile data: 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. Second half: 69, 70, 70, 86, 92.Find upper quartile value: Step 5: Find the value of the upper quartile. The upper quartile is the median of the second half. Calculation: The middle number in 69, 70, 70, 86, 92 is 70.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $14, 24, 32, 47, 55, 69, 70, 70, 86, 92$ $\newline$ 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

14, 24, 32, 47, 55, 69, 70, 70, 86, 92

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify the median: Step $1$ : Identify the median of the data set. $\newline$ Data set: $14, 24, 32, 47, 55, 69, 70, 70, 86, 92$ . $\newline$ Since there are $10$ numbers, the median will be the average of the $5$ th and $6$ th numbers. $\newline$ Calculation: $(55 + 69) / 2 = 62$ .
Identify lower quartile data: 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: $14, 24, 32, 47, 55$ .
Find lower quartile value: Step $3$ : Find the value of the lower quartile. $\newline$ The lower quartile is the median of the first half. $\newline$ Calculation: The middle number in $14, 24, 32, 47, 55$ is $32$ .
Identify upper quartile data: 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. $\newline$ Second half: $69$ , $70$ , $70$ , $86$ , $92$ .
Find upper quartile value: Step $5$ : Find the value of the upper quartile. $\newline$ The upper quartile is the median of the second half. $\newline$ Calculation: The middle number in $69$ , $70$ , $70$ , $86$ , $92$ is $70$ .