Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation
Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation
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
Calculate the lower bound of table 1.1 since the values are unreasonable. Refer to table 1.9 for the trial results for recalculation
Transcribed Image Text:Raw Data, Table 1.0
Diameter of
the hole
(mm)
.
6
7
8
9
10
8
9
10
Time taken to drain (s)
((3s.f)
=
Trial
1
71.4
53.3
63
54.2 49.5 54.9 54.7
42.2 42.3 39.6 42.7 41.7
36.5 38.1 37.7
38.2
37.6
Average =
Trial
2
Trial
3
70.2 83.4
Trial
4
81.6
61.8 63.5 62.4
Sample Calculations, Table 1.0:
Average Time taken to drain for 6mm Diameter hole size (table 1.0):.
71.4 + 70.2 + 83.4 +81.6
4
Sum of time taken to drain
Number of trials
= 76.7(3.S.F).
●
Average Sample
Time (s) Standard
(3s.f) Deviation
76.7
62.7
(Q3-Q1)
11.7
51.85 54.8
1.15
2.95
1.6
37.1 38.15 1.05
40.9 42.5
70.8 82.5
62.1 63.25
6,81
0.737
2.57
1.42
0.780
Graph 1.1: Time taken to drain and varying of
D
Correlation
Coefficient
(%age)
8.81%
1.75%
4.82%
3.41%
2.07%
(s) =
Interquartile range (IQR) method for outlier detection - Table 1.1
Diameter of the
Q3
Upper Bond
hole (mm)
Q1
IQR
(1.5x IQR+Q3)
Lower Bound
(1.5 x IQR-Q1)
-53.25
6
100.05
7
64.975
-60.375
-47.425
59.225
44.9
-38.5
39.725
-35.525
with a power trendline fitted
Correlation Coefficient (%age) for 6mm Diameter hole size
(table 1.0):
Sample Standard Deviation for 6mm Diameter hole size (table 1.0):
√Σ(x₁ - x)²
n-1
Note: Using the same number of significant figures
for all values involved in a calculation can help ensure
that the final result is rounded consistently and
accurately. Additionally, rounding to three significant
figures is considered a good balance between
providing enough precision to convey meaningful
information and avoiding excessive complexity and
unnecessary digits*
Correlation of Coefficient
6.81
76.7
=
(71.4-76.7)² + (70.2 - 76.7)² + (83.4 -76.7)² + (81.6- 76.7)²
4-1
= 6.81 seconds (3.S.F).
x 100
8.81 % (3.S.F.).
Time taken to drain (s) Vs. 1/diameter (mm-¹)
=
S
x 100
Table 1.1 shows that all of the calculations for each
trial were correct as all values were within the lower
and upper quartile. Outliers in the experiment
results are found visually once a graph of the
trendlines is constructed.
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