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## High school statistics

### Course: High school statistics>Unit 1

Lesson 3: Mean and median in data displays

# Choosing the "best" measure of center

Mean and median both try to measure the "central tendency" in a data set. The goal of each is to get an idea of a "typical" value in the data set. The mean is commonly used, but sometimes the median is preferred.

### Part 1: The mean

A golf team's $6$ members had the scores below in their most recent tournament:
$70,\phantom{\rule{0.167em}{0ex}}72,\phantom{\rule{0.167em}{0ex}}74,\phantom{\rule{0.167em}{0ex}}76,\phantom{\rule{0.167em}{0ex}}80,\phantom{\rule{0.167em}{0ex}}114$
problem a
Calculate the mean score.
mean =

problem b
What is a correct interpretation of the mean score?

### Part 2: The median

problem a
Find the median score.
As a reminder, here are the scores: $70,\phantom{\rule{0.167em}{0ex}}72,\phantom{\rule{0.167em}{0ex}}74,\phantom{\rule{0.167em}{0ex}}76,\phantom{\rule{0.167em}{0ex}}80,\phantom{\rule{0.167em}{0ex}}114$
median =

problem b
What is a correct interpretation of the median score?
As a reminder, here are the scores: $70,\phantom{\rule{0.167em}{0ex}}72,\phantom{\rule{0.167em}{0ex}}74,\phantom{\rule{0.167em}{0ex}}76,\phantom{\rule{0.167em}{0ex}}80,\phantom{\rule{0.167em}{0ex}}114$