Question

The 10 participants in an experiment had the following reaction times ( in milliseconds ) : 778,783,784,786,790,804,807,810,819,823. Which measure should be used to summarize the data? Mean, median, or mode?

Answer 1

Answer:

Mean. It includes all data points.

Step-by-step explanation:

-We first need to calculate the mean, median and mode then compare our values:

#Mean:

$\bar x=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{10}\sum{778+783+784+786+790+804+807+810+819+823}\\\\=\frac{1}{10}\times \\\\=798.40$

#The median is the middlemost data point in a lsit data:

778,783,784,786,790,804,807,810,819,823

-Since our data points is an even number, the median number is calculated as:

$median=\frac{1}2}\sum{5^{th}+6^{th}}\\\\=0.5[790+804]\\\\=797.00$

#Mode is the data point with the highest frequency:

-Since there's no number appearing more than once, our set has no mode.

#Since our data set has no outliers and is not a skewed distribution, the mean will be the best measure as it includes all data points