In the data set below, what are the lower quartile, the median, and the upper quartile? 35, 35, 49, 55, 59, 61 lower quartile = _____ median = _____ upper quartile = _____

Identify Median Calculation: Step 1: Identify the median of the data set 35, 35, 49, 55, 59, 61. Since there are 6 numbers, the median will be the average of the 3rd and 4th numbers. Calculation: (49 + 55) / 2 = 52.Lower Quartile Data Set: Step 2: Identify the data set for the lower quartile. The lower quartile uses the first half of the data set, excluding the median if necessary. First half is 35, 35, 49.Find Lower Quartile Value: Step 3: Find the value of the lower quartile. Since there are 3 numbers, the lower quartile is the middle number. Lower quartile = 35.Upper Quartile Data Set: Step 4: Identify the data set for the upper quartile. The upper quartile uses the second half of the data set, excluding the median if necessary. Second half is 55, 59, 61.Find Upper Quartile Value: Step 5: Find the value of the upper quartile. Since there are 3 numbers, the upper quartile is the middle number. Upper quartile = 59.

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In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $35, 35, 49, 55, 59, 61$ $\newline$ 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

35, 35, 49, 55, 59, 61

\newline

lower quartile

=

\_\_

\newline

median

=

\_\_

\newline

upper quartile

=

\_\_

Identify Median Calculation: Step $1$ : Identify the median of the data set $35, 35, 49, 55, 59, 61$ . Since there are $6$ numbers, the median will be the average of the $3$ rd and $4$ th numbers. Calculation: $(49 + 55) / 2 = 52$ .
Lower Quartile Data Set: Step $2$ : Identify the data set for the lower quartile. $\newline$ The lower quartile uses the first half of the data set, excluding the median if necessary. $\newline$ First half is $35$ , $35$ , $49$ .
Find Lower Quartile Value: Step $3$ : Find the value of the lower quartile. $\newline$ Since there are $3$ numbers, the lower quartile is the middle number. $\newline$ Lower quartile $= 35$ .
Upper Quartile Data Set: Step $4$ : Identify the data set for the upper quartile. $\newline$ The upper quartile uses the second half of the data set, excluding the median if necessary. $\newline$ Second half is $55$ , $59$ , $61$ .
Find Upper Quartile Value: Step $5$ : Find the value of the upper quartile. $\newline$ Since there are $3$ numbers, the upper quartile is the middle number. $\newline$ Upper quartile $= 59$ .