Statistics · Practice

Median — Exercises

Graded practice problems from foundations to advanced. Enter your answer and press Check.

Foundations

Problem 1

Find the median of: $3, 1, 7, 5, 9$ .

Problem 2

Find the median of: $1, 3, 5, 6, 8, 10$ .

Problem 3

Find the median of: $10, 2, 13, 7, 4$ .

Problem 4

Find the median of: $9, 1, 5, 2, 8$ .

Problem 5

The data set $1, 3, 5, 7$ has median $4$ . A value of $100$ is added. Find the new median.

Problem 6

Find the median of: $6, 1, 100, 8, 3$ .

Problem 7

The data set $5, 8, 12, 15$ has four values. A fifth value is inserted to make the median equal to $10$ . What is the inserted value?

Problem 8

The median is equal to which percentile?

Problem 9

Find the value of $c$ that minimizes $\sum |x_i - c|$ for the data $2, 4, 6, 8, 10$ .

Problem 10

For the data $1, 2, 3, 4, 5, 6$ , how many values are strictly below the median?

Problem 11

For the data $1, 2, 3, 4, 5$ , find $\sum(x_i - \text{median})$ .