Question

Answer the questions below.(a) Each member of the football team was asked to report the year he was born.Which measure gives the most common year of birth?MeanMedianMode(b) Maya has recorded the number of miles she has driven for each of the last 9 weeks:123, 384, 385, 389, 395, 400, 411, 412, 419.Which measure should be used to summarize the data?© MeanMedianO Mode(c) A bakery sells 10 types of sandwiches. Here are their calorie amounts:567, 582, 586, 587, 594, 599, 606, 614, 624, 629.Which measure should be used to summarize the data?MeanO MedianModeX5

Answer 1

The median

A)

1) Let's begin by ordering the data points from the least to the greatest one:

79 80 81 84 86 88 90 91 156

So let's now pick a measure of central tendency to summarize the data. Consider the following: there is no mode in this distribution for there are no repetitive data points.

2) So let's take the median and the mean, and then analyze it:

$\begin{gathered} \bar{x}=\frac{79+80+81+84+86+88+90+91+156}{9}=92.78 \\ Md=86 \end{gathered}$

Since the mean is higher than almost all data points this is not a typical value in this distribution. So we can state that the answer is the median.