Number Gender Exam 1 Exam 2 Exam 3 Homework Lab Number grade Letter grade Z-score Absolute z-score 1 0 61 94 76 94 87 82.4 B 0.18 0.18 2 0 99 97 90 100 89 95 A 1.38 1.38 3 0 64 76 69 88 87 76.8 C -0.36 0.36 4 0 77 82 86 98 94 87.4 B 0.66 0.66 5 0 70 89 81 93 97 86 B 0.52 0.52 6 0 67 62 65 60 90 68.8 D -1.13 1.13 7 0 87 83 81 85 68 80.8 B 0.02 0.02 8 0 74 88 65 49 90 73.2 C -0.71 0.71 9 0 91 97 87 81 94 90 A 0.90 0.90 10 0 94 87 77 90 67 83 B 0.23 0.23 11 0 47 72 54 59 63 59 F -2.07 2.07 12 0 81 64 78 84 73 76 C -0.44 0.44 13 0 87 90 81 93 80 86.2 B 0.54 0.54 14 0 96 100 84 97 84 92.2 A 1.12 1.12 15 0 80 76 90 85 85 83.2 B 0.25 0.25 16 0 64 51 69 74 78 67.2 D -1.28 1.28 17 0 70 86 84 77 75 78.4 C -0.21 0.21 18 0 80 93 98 95 98 92.8 A 1.17 1.17 19 0 88 83 83 90 84 85.6 B 0.48 0.48 20 0 52 46 62 70 59 57.8 F -2.19 2.19 21 0 97 83 83 85 98 89.2 B 0.83 0.83 22 1 80 74 90 83 65 78.4 C -0.21 0.21 23 1 86 81 72 85 97 84.2 B 0.35 0.35 24 1 88 99 91 94 98 94 A 1.29 1.29 25 1 70 70 71 80 83 74.8 C -0.55 0.55 26 1 81 93 88 83 95 88 B 0.71 0.71 27 1 83 70 75 81 76 77 C -0.34 0.34 28 1 49 55 60 60 71 59 F -2.07 2.07 29 1 77 82 78 67 82 77.2 C -0.32 0.32 30 1 95 87 100 91 95 93.6 A 1.25 1.25 1. For the following variables, state whether they are nominal, ordinal, interval, or ratio: Gender Number Grade Letter Grade Z-score

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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Number	Gender	Exam 1	Exam 2	Exam 3	Homework	Lab	Number grade	Letter grade	Z-score	Absolute z-score
1	0	61	94	76	94	87	82.4	B	0.18	0.18
2	0	99	97	90	100	89	95	A	1.38	1.38
3	0	64	76	69	88	87	76.8	C	-0.36	0.36
4	0	77	82	86	98	94	87.4	B	0.66	0.66
5	0	70	89	81	93	97	86	B	0.52	0.52
6	0	67	62	65	60	90	68.8	D	-1.13	1.13
7	0	87	83	81	85	68	80.8	B	0.02	0.02
8	0	74	88	65	49	90	73.2	C	-0.71	0.71
9	0	91	97	87	81	94	90	A	0.90	0.90
10	0	94	87	77	90	67	83	B	0.23	0.23
11	0	47	72	54	59	63	59	F	-2.07	2.07
12	0	81	64	78	84	73	76	C	-0.44	0.44
13	0	87	90	81	93	80	86.2	B	0.54	0.54
14	0	96	100	84	97	84	92.2	A	1.12	1.12
15	0	80	76	90	85	85	83.2	B	0.25	0.25
16	0	64	51	69	74	78	67.2	D	-1.28	1.28
17	0	70	86	84	77	75	78.4	C	-0.21	0.21
18	0	80	93	98	95	98	92.8	A	1.17	1.17
19	0	88	83	83	90	84	85.6	B	0.48	0.48
20	0	52	46	62	70	59	57.8	F	-2.19	2.19
21	0	97	83	83	85	98	89.2	B	0.83	0.83
22	1	80	74	90	83	65	78.4	C	-0.21	0.21
23	1	86	81	72	85	97	84.2	B	0.35	0.35
24	1	88	99	91	94	98	94	A	1.29	1.29
25	1	70	70	71	80	83	74.8	C	-0.55	0.55
26	1	81	93	88	83	95	88	B	0.71	0.71
27	1	83	70	75	81	76	77	C	-0.34	0.34
28	1	49	55	60	60	71	59	F	-2.07	2.07
29	1	77	82	78	67	82	77.2	C	-0.32	0.32
30	1	95	87	100	91	95	93.6	A	1.25	1.25

1. For the following variables, state whether they are nominal, ordinal, interval, or ratio:

- Gender
- Number Grade
- Letter Grade
- Z-score

2. Weighted Mean

- Did you have to calculate the Number Grade variable using the weighted mean? Why?
- When should you use the weighted mean instead of the regular mean?

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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