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DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Rowela L. Cuyos Date: March 23, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
MEASURES OF DISPERSION
ACTIVITY NO. 2
I. OBJECTIVES:1. Identify the equations involved in the measures of dispersion.2. Solve problems on range, variance and standard deviation.
II. REFERENCE: Fundamentals of Statistics by Diego M. Amid, PH.D. pp. 29-43III. CONCEPT:
1. Range- largest value minus the lowest value.2. Variance- measures the spread or the variability of the distribution.3. Standard Deviation- its value tells how closely the values of a data are
clustered around the mean.IV. APPLICATION:
Compute for range, variance and standard deviation1. A sample of chicken meat from 7 supermarkets produced the following data on their
prices. P56 P47 P68 P55 P71 P52 P62
X X X-X (X-X)2
P56 58.71 -2.71 7.3441
P47 58.71 -11.71 137.1241
P68 58.71 9.29 86.3041
P55 58.71 -3.71 13.7641
P71 58.71 12.29 151.0441
P52 58.71 -6.71 45.0241
P62 58.71 3.29 10.8241
DISPER
2. Hourly Rate of workers in XYZ Factory
Class Interval(c.i)
Frequency (f)
X(assumed Mean)
fx X-X (X-X)2 F(X-X)2
100-119 4 109.5 438 -66.59 4,434.2281 17,736.9124120-139 10 129.5 1295 -46.59 2,170.6281 21,706.281140-159 12 149.5 1794 -26.59 707.0281 8,484.3372160-179 17 169.5 2881.5 -6.59 43.4281 738.2777180-199 25 189.5 4737.5 13.41 179.8281 4,495.7025200-219 8 209.5 1676 33.41 1,116.2281 8,929.8248220-239 5 229.5 1147.5 53.41 2,852.6281 14,263.1405240-259 4 249.5 998 73.41 5,389.0281 21,556.1124
DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Ana Meshiel Pantaleon Date: March 23, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
MEASURES OF DISPERSION
ACTIVITY NO. 2
V. OBJECTIVES:3. Identify the equations involved in the measures of dispersion.4. Solve problems on range, variance and standard deviation.
VI. REFERENCE: Fundamentals of Statistics by Diego M. Amid, PH.D. pp. 29-43VII. CONCEPT:
4. Range- largest value minus the lowest value.5. Variance- measures the spread or the variability of the distribution.6. Standard Deviation- its value tells how closely the values of a data are
clustered around the mean.VIII. APPLICATION:
Compute for range, variance and standard deviation3. A sample of chicken meat from 7 supermarkets produced the following data on their
prices. P56 P47 P68 P55 P71 P52 P62
X X X-X (X-X)2
P56 58.71 -2.71 7.3441
P47 58.71 -11.71 137.1241
P68 58.71 9.29 86.3041
P55 58.71 -3.71 13.7641
P71 58.71 12.29 151.0441
P52 58.71 -6.71 45.0241
P62 58.71 3.29 10.8241
DISPER
4. Hourly Rate of workers in XYZ Factory
Class Interval(c.i)
Frequency (f)
X(assumed Mean)
fx X-X (X-X)2 F(X-X)2
100-119 4 109.5 438 -66.59 4,434.2281 17,736.9124120-139 10 129.5 1295 -46.59 2,170.6281 21,706.281140-159 12 149.5 1794 -26.59 707.0281 8,484.3372160-179 17 169.5 2881.5 -6.59 43.4281 738.2777180-199 25 189.5 4737.5 13.41 179.8281 4,495.7025200-219 8 209.5 1676 33.41 1,116.2281 8,929.8248220-239 5 229.5 1147.5 53.41 2,852.6281 14,263.1405240-259 4 249.5 998 73.41 5,389.0281 21,556.1124
DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Jessie Joe Ca-ang Date: March 23, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
MEASURES OF DISPERSION
ACTIVITY NO. 2
IX. OBJECTIVES:5. Identify the equations involved in the measures of dispersion.6. Solve problems on range, variance and standard deviation.
X. REFERENCE: Fundamentals of Statistics by Diego M. Amid, PH.D. pp. 29-43XI. CONCEPT:
7. Range- largest value minus the lowest value.8. Variance- measures the spread or the variability of the distribution.9. Standard Deviation- its value tells how closely the values of a data are
clustered around the mean.XII. APPLICATION:
Compute for range, variance and standard deviation5. A sample of chicken meat from 7 supermarkets produced the following data on their
prices. P56 P47 P68 P55 P71 P52 P62
X X X-X (X-X)2
P56 58.71 -2.71 7.3441
P47 58.71 -11.71 137.1241
P68 58.71 9.29 86.3041
P55 58.71 -3.71 13.7641
P71 58.71 12.29 151.0441
P52 58.71 -6.71 45.0241
P62 58.71 3.29 10.8241
DISPER
6. Hourly Rate of workers in XYZ Factory
Class Interval(c.i)
Frequency (f)
X(assumed Mean)
fx X-X (X-X)2 F(X-X)2
100-119 4 109.5 438 -66.59 4,434.2281 17,736.9124120-139 10 129.5 1295 -46.59 2,170.6281 21,706.281140-159 12 149.5 1794 -26.59 707.0281 8,484.3372160-179 17 169.5 2881.5 -6.59 43.4281 738.2777180-199 25 189.5 4737.5 13.41 179.8281 4,495.7025200-219 8 209.5 1676 33.41 1,116.2281 8,929.8248220-239 5 229.5 1147.5 53.41 2,852.6281 14,263.1405240-259 4 249.5 998 73.41 5,389.0281 21,556.1124
DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Rowela L. Cuyos Date: April 6, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
The T-test for independent samples
Objectives:
Identify the equations involved in the t-test for independent samples.
Solve problems on t-test for independent samples.
Reference:
Inferential Statistics
Concept:
The t-test is a test of difference between two independent groups. The means are being compared X against X .
Application:
Two groups of experimental rats were injected with tranquilizer at 2.0 mg. 2.5 mg. dose respectively. The time given in seconds that took them to fall asleep is hereby given. Use the t-test the null hypothesis that the difference in dosage has no effect on the length of time it took them fall asleep.
2.0 mg. dose: 8.8, 12.2, 10.2, 8.5, 12.0, 11.1, 8.8, 11.3, 6.9, 9.2, 8.7
2.5 mg. dose: 11.0, 6.4, 8.8, 10.5, 12.0, 11.5, 8.8, 9.5, 12.5
2.0 mg. dose 2.5 mg. doseX X X X
8.8 77.44 11.0 121
12.2 148.84 6.4 40.96
10.2 104.04 8.8 77.44
8.5 72.25 10.5 110.25
DISPER
12.0 144 12.0 144
11.1 123.21 11.5 132.25
8.8 77.44 8.8 77.44
11.3 127.69 9.5 90.2
6.9 47.61 12.5 156.25
9.2 84.64 = 91 949.84
8.7 75.69 = 9
=107.7 1,082.85 = 10.11
= 11
= 9.79
DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Ana Meshiel Pantaleon Date: April 6, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
The T-test for independent samples
Objectives:
Identify the equations involved in the t-test for independent samples.
Solve problems on t-test for independent samples.
Reference:
Inferential Statistics
Concept:
The t-test is a test of difference between two independent groups. The means are being compared X against X .
Application:
Two groups of experimental rats were injected with tranquilizer at 2.0 mg. 2.5 mg. dose respectively. The time given in seconds that took them to fall asleep is hereby given. Use the t-test the null hypothesis that the difference in dosage has no effect on the length of time it took them fall asleep.
2.0 mg. dose: 8.8, 12.2, 10.2, 8.5, 12.0, 11.1, 8.8, 11.3, 6.9, 9.2, 8.7
2.5 mg. dose: 11.0, 6.4, 8.8, 10.5, 12.0, 11.5, 8.8, 9.5, 12.5
2.0 mg. dose 2.5 mg. doseX X X X
8.8 77.44 11.0 121
12.2 148.84 6.4 40.96
DISPER
10.2 104.04 8.8 77.44
8.5 72.25 10.5 110.25
12.0 144 12.0 144
11.1 123.21 11.5 132.25
8.8 77.44 8.8 77.44
11.3 127.69 9.5 90.2
6.9 47.61 12.5 156.25
9.2 84.64 = 91 949.84
8.7 75.69 = 9
=107.7 1,082.85 = 10.11
= 11
= 9.79
DISPER
Republic of the Philippines
CEBU TECHNOLOGICAL UNIVERSITY
DAANBANTAYAN CAMPUS
(SUC Level IV, AACCUP ACCREDITED and ISO 9001 Certified)
Agujo Daanbantayan, Cebu
http://www.daanbantayan.ctu.edu.ph email: [email protected]
Tel. No. (032) 437-8526 fax No. (032)437-8523
Name: Jessie Joe Ca-ang Date: April 6, 2013
Course: M. Ed Academic Year: Second Sem. 2012-2013
Subject: Educ. 602 Inferential Statistics Professor: Dr. Marichu D. Alalim
The T-test for independent samples
Objectives:
Identify the equations involved in the t-test for independent samples.
Solve problems on t-test for independent samples.
Reference:
Inferential Statistics
Concept:
The t-test is a test of difference between two independent groups. The means are being compared X against X .
Application:
Two groups of experimental rats were injected with tranquilizer at 2.0 mg. 2.5 mg. dose respectively. The time given in seconds that took them to fall asleep is hereby given. Use the t-test the null hypothesis that the difference in dosage has no effect on the length of time it took them fall asleep.
2.0 mg. dose: 8.8, 12.2, 10.2, 8.5, 12.0, 11.1, 8.8, 11.3, 6.9, 9.2, 8.7
2.5 mg. dose: 11.0, 6.4, 8.8, 10.5, 12.0, 11.5, 8.8, 9.5, 12.5
2.0 mg. dose 2.5 mg. doseX X X X
8.8 77.44 11.0 121
12.2 148.84 6.4 40.96
10.2 104.04 8.8 77.44
DISPER
8.5 72.25 10.5 110.25
12.0 144 12.0 144
11.1 123.21 11.5 132.25
8.8 77.44 8.8 77.44
11.3 127.69 9.5 90.2
6.9 47.61 12.5 156.25
9.2 84.64 = 91 949.84
8.7 75.69 = 9
=107.7 1,082.85 = 10.11
= 11
= 9.79
