Question

answer the questions below.
(a) the 9 participants in an experiment had the following reaction times (in milliseconds):
793, 798, 803, 807, 811, 815, 823, 827, 829.
which measure should be used to summarize the data?
mean median mode
(b) each member of the football team was asked to report the year he was born.
which measure gives the most common year of birth?
mean median mode
(c) in a survey, 9 people gave the following ratings for a local politician (on a scale of 0 to 100):
40, 41, 43, 44, 49, 50, 54, 55, 88.
which measure should be used to summarize the data?
mean median mode

Explanation:

Step1: Analyze part (a) data

The reaction times are: 793, 798, 803, 807, 811, 815, 823, 827, 829. This data is symmetric with no outliers, so mean is appropriate.

Step2: Analyze part (b) goal

We need the most common year of birth, which is defined as the mode.

Step3: Analyze part (c) data

The ratings are: 40, 41, 43, 44, 49, 50, 54, 55, 88. The value 88 is an outlier that would skew the mean, so median is best.

Answer:

(a) Mean
(b) Mode
(c) Median