Data Frequency 60 - 64 1 65 - 69 0 70 - 74 13 75 - 79 14 80 - 84 17 Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction). (a) mode =  (b) median =  (c) mean =    Use the space below to type your answer your work for all the questions in this problem.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Data Frequency
60 - 64 1
65 - 69 0
70 - 74 13
75 - 79 14
80 - 84 17



Report mode and median accurate to one decimal place. Report the mean accurate to two decimal places (or enter as a fraction).

(a) mode = 

(b) median = 

(c) mean =   

Use the space below to type your answer your work for all the questions in this problem.

Expert Solution
Step 1

Mean: The mean is the sum of observations divided by the number of observations. that is,
Mean = fi×xiN
Notations:

The sample mean = x and
Population mean = μ

Median: The median is the value of the middlemost observation in the data set when the observation is arranged in increasing (or decreasing) order of their values.

The formula for median:

Statistics homework question answer, step 1, image 1

Were,
l: is the lower class boundary of the quartile class.
N: is the total frequency of the distribution
c.f: is the cumulative frequency before the quartile class.
f: is the frequency of the quartile class.
h: is the class size

Mode: The mode is the value that is repeated maximum times.
we can denote it by Mo.

The formula for mode is

Statistics homework question answer, step 1, image 2

l= lower limit of the model class.

h = size of the class interval (assuming all class sizes to be equal).

f1 = frequency of the model class.

f0 = frequency of the class preceding the model class.

f2 = frequency of the class succeeding the model class.

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