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In the data set below, what is the upper quartile?

24
42
54
59
67
68
83

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In the data set below, what is the upper quartile? $\newline$ \begin{tabular}{lllllll} $\newline$ $24$ & $42$ & $54$ & $59$ & $67$ & $68$ & $83$ $\newline$ \end{tabular} $\newline$ $\square$ $\newline$ Submit

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Calculate quartiles and interquartile range

Full solution

Q. In the data set below, what is the upper quartile?

\newline

\begin{tabular}{lllllll}

\newline

24

&

42

&

54

&

59

&

67

&

68

&

83

\newline

\end{tabular}

\newline

\square

\newline

Submit

Arrange Data in Ascending Order: Arrange the data set in ascending order. $\newline$ The data set is already in ascending order: $24$ , $42$ , $54$ , $59$ , $67$ , $68$ , $83$ .
Find Median: Determine the median of the data set. $\newline$ The middle term of the given data set is $59$ . $\newline$ Median: $59$
Identify Upper Half: Identify the upper half of the data set. $\newline$ The upper half includes values that are greater than $59$ . $\newline$ Upper half: $67$ , $68$ , $83$
Calculate Upper Quartile: Calculate the median of the upper half of the data set. $\newline$ Since there are only three numbers in the upper half, the median is the middle number. $\newline$ Upper quartile: $68$

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