The following sample data was obtained at 8:00 p.m. at a popular downtown restaurant. There were 15 tables occupied at the time.Number of Guests at TableFood Bill for Table in $Liquor Bill for Table in $248.7515.75236.7526.00490.5522.90487.4542.45241.2514.00483.3029.756109.4044.05488.2521.55493.4522.00236.5016.45242.6018.004105.8037.57484.6518.955110.3543.95483.5522.50ROUND all answers to 2 decimal places to reflect the nearest cent (¢)!a) What was the average food bill for the 15 tables? $b) The mean food bill per table is $ The standard deviation of the food bills at the 15 tables is $ nothingThe mean liquor bill per table is $The standard deviation of the liquor bills at the 15 tables is $ There was more relative variability in the food bill than the liquor bill-True-False

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Description: The following sample data was obtained at 8:00 p.m. at a popular downtown restaurant. There were 15 tables occupied at the time.Number of Guests at TableFood Bill for Table in $Liquor Bill for Table in $248.7515.75236.7526.00490.5522.90487.4542.4

Given frequency food bill liquor bill 2 48.75 15.75 2 36.75 26 4 90.55 22.9 4 87.45…

Answered: The following sample data was obtained…

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 following sample data was obtained at 8:00 p.m. at a popular downtown restaurant. There were 15 tables occupied at the time.

Number of Guests at Table	Food Bill for Table in $	Liquor Bill for Table in $
2	48.75	15.75
2	36.75	26.00
4	90.55	22.90
4	87.45	42.45
2	41.25	14.00
4	83.30	29.75
6	109.40	44.05
4	88.25	21.55
4	93.45	22.00
2	36.50	16.45
2	42.60	18.00
4	105.80	37.57
4	84.65	18.95
5	110.35	43.95
4	83.55	22.50

ROUND all answers to 2 decimal places to reflect the nearest cent (¢)!

a) What was the average food bill for the 15 tables? $

b) The mean food bill per table is $

The standard deviation of the food bills at the 15 tables is $ nothing

The mean liquor bill per table is $

The standard deviation of the liquor bills at the 15 tables is $

There was more relative variability in the food bill than the liquor bill

-True

-False

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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