1)
for class A
mean = ΣX/n = 70.882
Median=0.5(n+1)th value = 9 th value of
sorted data
= 71.0000
mode= 71
-------------------------------
for class B
mean = ΣX/n = 64.389
Median=0.5(n+1)th value = 9.5 th value
of sorted data
= 71.0000
mode= 80
2)
for class A
X | (X - X̄)² |
71 | 0.014 |
82 | 123.602 |
55 | 252.249 |
76 | 26.190 |
66 | 23.837 |
71 | 0.014 |
90 | 365.484 |
84 | 172.1 |
95 | 581.661 |
64 | 47.367 |
71 | 0.014 |
70 | 0.779 |
73 | 4.484 |
45 | 669.90 |
73 | 4.484 |
51 | 395.308 |
68 | 8.308 |
X | (X - X̄)² | |
total sum | 1205 | 2675.765 |
n | 17 | 17 |
sample variance = Σ(X - X̄)²/(n-1)=
167.2353
sample std dev = √ [ Σ(X - X̄)²/(n-1)] =
12.9319
--------------------------
for class B
X | (X - X̄)² |
54 | 107.929 |
80 | 243.707 |
12 | 2744.596 |
61 | 11.485 |
73 | 74.151 |
69 | 21.262 |
92 | 762.373 |
81 | 275.9 |
80 | 243.707 |
61 | 11.485 |
75 | 112.596 |
74 | 92.373 |
15 | 2439.262 |
44 | 415.71 |
91 | 708.151 |
63 | 1.929 |
50 | 207.040 |
84 | 384.596 |
X | (X - X̄)² | |
total sum | 1159 | 8858.278 |
n | 18 | 18 |
sample variance = Σ(X - X̄)²/(n-1)=
521.0752
sample std dev = √ [ Σ(X - X̄)²/(n-1)] =
22.8271
3)
for class A
quartile , Q1 = 0.25(n+1)th value= 4.5
th value of sorted data
= 65
Quartile , Q3 = 0.75(n+1)th value= 13.5 th
value of sorted data
= 79
maximum = 95
minimum= 45
five number summary for class A is 45,65,71,79,95
------------------------
for class B
Median=0.5(n+1)th value = 9.5 th value
of sorted data
= 71.0000
quartile , Q1 = 0.25(n+1)th value= 4.75 th
value of sorted data
= 53
Quartile , Q3 = 0.75(n+1)th value= 14.25 th
value of sorted data
= 80.25
IQR = Q3-Q1 = 27.25
five number summary is 15,53,71,80.25,92
---------------------------------------------------------------------------------------------------------------------------------------------------------
4)
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ALL WORK DONE IN EXCEL, SHOW SCREENSHOT.
MATLAB!!
BELOW IS SOAP BOX
1 100.2738
2 101.6089
3 97.3934
4 100.608
5 100.0483
6 98.3731
7 99.2734
8 100.0729
9 103.4057
10 102.5725
11 98.3296
12 102.846
13 100.4672
14 99.6551
15 100.4562
16 99.5089
17 99.5921
18 101.2544
19 101.1713
20 101.1797
21 100.4116
22 98.4763
23 100.4588
24 101.3991
25 100.2236
26 100.7857
27 100.4687
28 99.4075
29 100.0227
30 98.9091
31 100.635
32 98.5385
33 98.6191
34 98.8862...
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Home Insert Draw Page Layout Formulas Data Review View Help Tell me what you want to do = = ). General Calibri B I 11 . Font - A A . .A. Wrap Text Merge & Center. U $ . % * 3 Alignment Number Clipboard R14 4. A . B C D G H nter the last 4 digits of your student ID number 4 Name/s: 7 Save this file in EXCEL FORMAT as: P2 Lastname 8 Round all...