1. Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution.A. 56.73B. 75.63C. 73.56D. 76.05 2. Calculate the variance for the distribution given in figure 1. A. 429.84B. 492.98C. 924.86D. 942.993. Calculate the standard deviation and the co-efficient of variation respectively for the distribution given in figure 1.A. 73.20, 28.20B. 20.73, 0.28C. 27.30, 20.28D. 0.28, 0.21 1. You are given a Grouped Frequency Distribution Table of the speed in miles per hour (mph) attainedby each observed Formula One driver from zero (0) to seven (7) seconds, during the first practicesession in preparation for the Abu Dhabi Grand Prix of 2022 as shown in Figure 1 below:Interval30<4848 < 66668484 <102102 <120TOTALSFigure 1Frequency[1]36862CumulativeFrequency39172325Midpoint[X]39577593111X²15213249562586491232131365fX1173426005582221839fx²456319494450005189424642145593

Answered: Calculate the mean speed in miles per…

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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1. Calculate the mean speed in miles per hour attained between zero (0) and (7) for this distribution. A. 56.73 B. 75.63 C. 73.56 D. 76.05 2. Calculate the variance for the distribution given in figure 1. A. 429.84 B. 492.98 C. 924.86 D. 942.99 3. Calculate the standard deviation and the co-efficient of variation respectively for the distribution given in figure 1. A. 73.20, 28.20 B. 20.73, 0.28 C. 27.30, 20.28 D. 0.28, 0.21

1. You are given a Grouped Frequency Distribution Table of the speed in miles per hour (mph) attained
by each observed Formula One driver from zero (0) to seven (7) seconds, during the first practice
session in preparation for the Abu Dhabi Grand Prix of 2022 as shown in Figure 1 below:
Interval
30<48
48 < 66
6684
84 <102
102 <120
TOTALS
Figure 1
Frequency
[1]
3
6
8
6
2
Cumulative
Frequency
3
9
17
23
25
Midpoint
[X]
39
57
75
93
111
X²
1521
3249
5625
8649
12321
31365
fX
117
342
600
558
222
1839
fx²
4563
19494
45000
51894
24642
145593

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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