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Descriptive Statistics Analysis, Assignments of Statistics

University of San Carlos (USC)Statistics

A detailed analysis of descriptive statistics, including measures of central tendency (mean, median, mode), measures of dispersion (variance, standard deviation, range), and other statistical measures such as quartiles and percentiles. The data is presented in a tabular format, with columns for the scores, frequency, and cumulative frequency. The analysis covers key statistical concepts and calculations, providing insights into the distribution and characteristics of the data. This document could be useful for students studying statistics, data analysis, or research methods in various academic disciplines, particularly in the fields of mathematics, economics, psychology, and social sciences.

Typology: Assignments

2020/2021

Uploaded on 05/11/2023

marlen-kaye-sapar
marlen-kaye-sapar 🇵🇭

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Scores Frequency <cf ARRAY Mean X-Mean
(X-mean)squared
4 6 6 4 8.16 -4.16 17.3056
5 7 13 4 8.16 -4.16 17.3056
6 6 19 4 8.16 -4.16 17.3056
7 2 21 4 8.16 -4.16 17.3056
8 8 29 4 8.16 -4.16 17.3056
9 4 33 4 8.16 -4.16 17.3056
10 2 35 5 8.16 -3.16 9.9856
11 6 41 5 8.16 -3.16 9.9856
12 4 45 5 8.16 -3.16 9.9856
13 5 50 5 8.16 -3.16 9.9856
N (SUM) 50 5 8.16 -3.16 9.9856
Count 10 5 8.16 -3.16 9.9856
Mean 8.16 5 8.16 -3.16 9.9856
Variance (S) 8.9535 6 8.16 -2.16 4.6656
Variance (P) 8.7744 6 8.16 -2.16 4.6656
Standard Deviation (S) 2.9922 6 8.16 -2.16 4.6656
Standard Deviation (P) 2.9622 6 8.16 -2.16 4.6656
Range 9 6 8.16 -2.16 4.6656
6 8.16 -2.16 4.6656
Q1 12.25 5 7 8.16 -1.16 1.3456
D4 20.4 7 7 8.16 -1.16 1.3456
P70 38.25 11 8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
8 8.16 -0.16 0.0256
9 8.16 0.84 0.7056
9 8.16 0.84 0.7056
9 8.16 0.84 0.7056
9 8.16 0.84 0.7056
10 8.16 1.84 3.3856
10 8.16 1.84 3.3856
11 8.16 2.84 8.0656
11 8.16 2.84 8.0656
11 8.16 2.84 8.0656
11 8.16 2.84 8.0656
11 8.16 2.84 8.0656
11 8.16 2.84 8.0656
12 8.16 3.84 14.7456
12 8.16 3.84 14.7456
12 8.16 3.84 14.7456
12 8.16 3.84 14.7456
13 8.16 4.84 23.4256
13 8.16 4.84 23.4256
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Scores Frequency <cf ARRAY Mean X-Mean (X-mean)squared

VARIANCE (P)

STANDARD DEVIATION (P)

LL UL Frequency <cf LB(LL-0.5) midpoint f*midpoint midpoint-mean

  • 4 6 6 4 8.16 -4.16 17.
  • 5 7 13 4 8.16 -4.16 17.
  • 6 6 19 4 8.16 -4.16 17.
  • 7 2 21 4 8.16 -4.16 17.
  • 8 8 29 4 8.16 -4.16 17.
  • 9 4 33 4 8.16 -4.16 17.
  • 10 2 35 5 8.16 -3.16 9.
  • 11 6 41 5 8.16 -3.16 9.
  • 12 4 45 5 8.16 -3.16 9.
  • 13 5 50 5 8.16 -3.16 9.
  • N (SUM) 50 5 8.16 -3.16 9.
  • Count 10 5 8.16 -3.16 9.
  • Mean 8.16 5 8.16 -3.16 9.
  • Variance (S) 8.9535 6 8.16 -2.16 4.
  • Variance (P) 8.7744 6 8.16 -2.16 4.
  • Standard Deviation (S) 2.9922 6 8.16 -2.16 4.
  • Standard Deviation (P) 2.9622 6 8.16 -2.16 4.
  • Range 9 6 8.16 -2.16 4. - 6 8.16 -2.16 4.
  • Q1 12.25 5 7 8.16 -1.16 1.
  • D4 20.4 7 7 8.16 -1.16 1.
  • P70 38.25 11 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 8 8.16 -0.16 0. - 9 8.16 0.84 0. - 9 8.16 0.84 0. - 9 8.16 0.84 0. - 9 8.16 0.84 0.
    • 10 8.16 1.84 3.
    • 10 8.16 1.84 3.
    • 11 8.16 2.84 8.
    • 11 8.16 2.84 8.
    • 11 8.16 2.84 8.
    • 11 8.16 2.84 8.
    • 11 8.16 2.84 8.
    • 11 8.16 2.84 8.
    • 12 8.16 3.84 14.
    • 12 8.16 3.84 14.
    • 12 8.16 3.84 14.
    • 12 8.16 3.84 14.
    • 13 8.16 4.84 23.
    • 13 8.16 4.84 23.
  • 13 8.16 4.84 23.
  • 13 8.16 4.84 23.
  • 13 8.16 4.84 23.
      • 80 89 10 10 79.5 84.5 845 -27.
      • 90 99 17 27 89.5 94.5 1606.5 -17.
    • 100 109 22 49 99.5 104.5 2299 -7.
    • 110 119 15 64 109.5 114.5 1717.5 2.
    • 120 129 24 88 119.5 124.5 2988 12.
    • 130 139 8 96 129.5 134.5 1076 22.
    • 140 149 6 102 139.5 144.5 867 32. - sum 102 mean 111.
  • P27 27. - 99.
  • Modal 120-
  • Range
  • Q3 76. - 124.
  • D3 30. - 101.