The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:1414; 1717; 1717; 2020; 2020; 2121; 2323; 2424; 2525; 2525; 2525; 2626; 2626; 2727; 2727; 2727; 2828; 2929; 2929; 3232; 3333; 3333; 3434; 3535; 3737; 3939; 4141Calculate the mean.Round your answer to two decimal places. Identify the median.Enter the exact answer. Identify the mode. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;62;4;6 or x+1;x−1�+1;�−1). The order of the list does not matter.

Answered: The following data show the lengths of…

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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Question

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest:

1414; 1717; 1717; 2020; 2020; 2121; 2323; 2424; 2525; 2525; 2525; 2626; 2626; 2727; 2727; 2727; 2828; 2929; 2929; 3232; 3333; 3333; 3434; 3535; 3737; 3939; 4141

Calculate the mean.

Round your answer to two decimal places.
Identify the median.

Enter the exact answer.
Identify the mode.

The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;62;4;6 or x+1;x−1�+1;�−1). The order of the list does not matter.

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.

Expert Solution

Step 1

Sol:-

To calculate the mean, we add up all the lengths and divide by the total number of boats:

Mean = (1414 + 1717 + 1717 + 2020 + 2020 + 2121 + 2323 + 2424 + 2525 + 2525 + 2525 + 2626 + 2626 + 2727 + 2727 + 2727 + 2828 + 2929 + 2929 + 3232 + 3333 + 3333 + 3434 + 3535 + 3737 + 3939 + 4141) / 27 Mean = 81668 / 27 Mean ≈ 3021.04

Therefore, the mean length of the boats is approximately 3021.04.