Calculating median

Practice Questions

GMAT Quantitative Reasoning › Calculating median

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What is the median of the following numbers?

$\frac{1}{2}, \frac{1}{3},\frac{1}{4},\frac{1}{5},\frac{1}{6},\frac{1}{7}$

Below is the stem-and-leaf display of a set of test scores.

$\left.\begin{matrix} 4\ 5\ 6\ 7\ 8 \end{matrix}\right|\begin{matrix} \textrm{2 5}; ; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; ; ; ;\ \textrm{4 4 7 7}; ; ; ; ; ; ; ; ; ; ;; ; ; ; \ \textrm{0 1 2 2 4 5 8 8 9}\ \textrm{3 5 5 8} ; ; ; ; ; ; ; ;; ; ; ; ; ; ; \ \textrm{7 }; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; ; ; ; ; ; ; \end{matrix}$

What is the first quartile of these test scores?

Give the median of the following data set in terms of :

$\left {a -1, a +2, a-3, a+ 4, a -5, a+6, a-7, a+8 \right }$

Sally is collecting information about the lengths of tree branches that fell in her back yard during a powerful storm the night before. With her trusty measuring stick, she measures out 10 different branches and finds their lengths in feet to be

Calculate the median of the branch lengths

Janice's course score in her statistics class depends on her six hourly tests. The mean of her best five scores and the median of her best five scores are both calculated, and she is assigned the better of the two.

Janice's first five tests were 90, 92, 80, 75, and 86. What score, at minimum, does she need to be assured a course score of 85 or better for the term?