The dot plot of time (in minutes) it takes employees to drive to work is shown below. Find the mean, median, and mode of the data. If any measure cannot be found or does not represent the center of the data, explain why. 5,10,15,20,25,30,35 A dot plot has a horizontal axis labeled from 5 to 35 in increments of 1. The graph consists of a series of plotted points from left to right. The coordinates of the plotted points are as follows, where the label is listed first and the number of dots is listed second: 5, 1; 8, 1; 10, 1; 16, 3; 18, 1; 19,1; 21, 1; 23, 2; 25, 1; 28,1, 33, 1, 36, 1. ..... Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean is 10101010. (Type an integer or decimal rounded to one decimal place as needed.) B. There is no mean for this data set. Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the smallest value. C. The mean does not represent the center because it is not a data value. D. The mean does not represent the center because it is the largest value. E. The data set has no mean because the data values are at the nominal level of measurement. Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The median is nothing. (Type an integer or decimal rounded to one decimal place as needed.) B. There is no median for this data set. Does the median represent the center of the data? A. The median represents the center. B. The median does not represent the center because it is the largest value. C. The median does not represent the center because it is not a data value. D. The median does not represent the center because it is the smallest value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The dot plot of time (in minutes) it takes employees to drive to work is shown below. Find the mean, median, and mode of the data. If any measure cannot be found or does not represent the center of the data, explain why.

5,10,15,20,25,30,35

A dot plot has a horizontal axis labeled from 5 to 35 in increments of 1. The graph consists of a series of plotted points from left to right. The coordinates of the plotted points are as follows, where the label is listed first and the number of dots is listed second: 5, 1; 8, 1; 10, 1; 16, 3; 18, 1; 19,1; 21, 1; 23, 2; 25, 1; 28,1, 33, 1, 36, 1.

.....

Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The mean is

10101010.

(Type an integer or decimal rounded to one decimal place as needed.)

There is no mean for this data set.

Does the mean represent the center of the data?

The mean represents the center.

The mean does not represent the center because it is the smallest value.

The mean does not represent the center because it is not a data value.

The mean does not represent the center because it is the largest value.

The data set has no mean because the data values are at the nominal level of measurement.

Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The median is

nothing.

(Type an integer or decimal rounded to one decimal place as needed.)

There is no median for this data set.

Does the median represent the center of the data?

The median represents the center.

The median does not represent the center because it is the largest value.

The median does not represent the center because it is not a data value.

The median does not represent the center because it is the smallest value.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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