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Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students

Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions.

On the average, which group of students perform better academically in the previous term? Which group varies more?

1st image are the male students and the 2nd image are the female students.

a. For male students Interquartile range IQR = Qs – QI Mean = 1.58 – 1.36 = 0.22 20.4 1.457143 N 14 GWA (x) d d? (Deviation from the mean) -0.39714286 Median Med = 1.42+1.45 1.435 1.06 1.1236 0.157722 1.33 1.7689 -0.12714286 0.016165 Minimum and maximum values 1.34 1.36 1.7956 -0.11714286 0.013722 Min (x) = 1.06 Маx (х) — 1.75 1.8496 -0.09714286 0.009437 1.38 1.9044 -0.07714286 0.005951 1.42 2.0164 -0.03714286 0.00138 1.42 2.0164 -0.03714286 0.00138 1.45 2.1025 -0.00714286 0.000051 1.52 2.3104 0.062857143 0.003951 1.56 2.4336 0.102857143 0.01058 1.58 2.4964 0.122857143 0.015094 1.60 2.56 0.142857143 0.020408 1.63 2.6569 0.172857143 0.02988 First and third quartiles 1.75 3.0625 0.292857143 0.085765 Q; = () • N • 14 = 3.5 or 4th quartile Ex = 20.4, N= 14 Ex = 30.0972 Ed = -0.04 Ed? = 0.371486 Standard deviation and variance Q=1.36 Q = () . * N 0.371486 Population variance - g? = Ed² = 0.0265 14 • 14 = 10.5 or 11th quartile Q = 1.58 Population standard deviation - o = Vo? = V0.0265 = 0.1628 • Range Range = highest value – lowest value 0.3716 Sample variance - s² = N-1 0.0286 14-1 = 1.75 – 1.06 Sample standard deviation - s = V0.0286 = 0.1691 = 0.69
Transcribed Image Text:a. For male students Interquartile range IQR = Qs – QI Mean = 1.58 – 1.36 = 0.22 20.4 1.457143 N 14 GWA (x) d d? (Deviation from the mean) -0.39714286 Median Med = 1.42+1.45 1.435 1.06 1.1236 0.157722 1.33 1.7689 -0.12714286 0.016165 Minimum and maximum values 1.34 1.36 1.7956 -0.11714286 0.013722 Min (x) = 1.06 Маx (х) — 1.75 1.8496 -0.09714286 0.009437 1.38 1.9044 -0.07714286 0.005951 1.42 2.0164 -0.03714286 0.00138 1.42 2.0164 -0.03714286 0.00138 1.45 2.1025 -0.00714286 0.000051 1.52 2.3104 0.062857143 0.003951 1.56 2.4336 0.102857143 0.01058 1.58 2.4964 0.122857143 0.015094 1.60 2.56 0.142857143 0.020408 1.63 2.6569 0.172857143 0.02988 First and third quartiles 1.75 3.0625 0.292857143 0.085765 Q; = () • N • 14 = 3.5 or 4th quartile Ex = 20.4, N= 14 Ex = 30.0972 Ed = -0.04 Ed? = 0.371486 Standard deviation and variance Q=1.36 Q = () . * N 0.371486 Population variance - g? = Ed² = 0.0265 14 • 14 = 10.5 or 11th quartile Q = 1.58 Population standard deviation - o = Vo? = V0.0265 = 0.1628 • Range Range = highest value – lowest value 0.3716 Sample variance - s² = N-1 0.0286 14-1 = 1.75 – 1.06 Sample standard deviation - s = V0.0286 = 0.1691 = 0.69
GWA (x) x d d? b. For female students (Deviation from the mean) • Mean 1.4884 0.083016 1.22 -0.288125 Ex 1.24 1.5376 -0.268125 24.13 0.071891 = 1.508125 16 1.27 1.6129 -0.238125 0.056704 1.43 2.0449 -0.078125 0.006104 • Median 1.45 2.1025 -0.058125 0.003379 1.49 2.2201 -0.018125 0.000329 1.54+1.56 Med 1.55 1.49 2.2201 -0.018125 0.000329 2 1.54 2.3716 0.031875 0.001016 1.56 2.4336 0.051875 0.002691 Minimum and maximum values 1.56 2.4336 0.051875 0.002691 Min (x) = 1.22 Маx (х) — 1.78 1.58 2.4964 0.071875 0.005166 1.59 2.5281 0.081875 0.006704 1.59 1.64 2.5281 0.081875 0.006704 2.6896 0.131875 0.017391 First and third quartiles 1.70 2.89 0.191875 0.036816 Q1 = () • N 1.78 3.1684 0.271875 0.073916 Ex = 24.13, N = 16 Ex = 36.7659 Ed = -0.007 Ed = 0.374847 | • 16 = 4th quartile Q1 = 1.43 Q3 = ) * N • 16 = 12th quartile = 1.59 • Standard deviation and variance Range Range = highest value – lowest value = 1.78 – 1.22 Population variance - g² = Ed* 0.374847 = 0.0234 16 = 0.56 Population standard deviation - o = 0.0234 = 0.1530 Σα" 0.374847 • Interquartile range Sample variance - s² = 0.0250 N-1 15-1 IQR = Qs – Q1 = 1.59 – 1.44 = 0.16 Sample standard deviation -s = Vs2 = V0.0249 = 0.1578 %3D ||
Transcribed Image Text:GWA (x) x d d? b. For female students (Deviation from the mean) • Mean 1.4884 0.083016 1.22 -0.288125 Ex 1.24 1.5376 -0.268125 24.13 0.071891 = 1.508125 16 1.27 1.6129 -0.238125 0.056704 1.43 2.0449 -0.078125 0.006104 • Median 1.45 2.1025 -0.058125 0.003379 1.49 2.2201 -0.018125 0.000329 1.54+1.56 Med 1.55 1.49 2.2201 -0.018125 0.000329 2 1.54 2.3716 0.031875 0.001016 1.56 2.4336 0.051875 0.002691 Minimum and maximum values 1.56 2.4336 0.051875 0.002691 Min (x) = 1.22 Маx (х) — 1.78 1.58 2.4964 0.071875 0.005166 1.59 2.5281 0.081875 0.006704 1.59 1.64 2.5281 0.081875 0.006704 2.6896 0.131875 0.017391 First and third quartiles 1.70 2.89 0.191875 0.036816 Q1 = () • N 1.78 3.1684 0.271875 0.073916 Ex = 24.13, N = 16 Ex = 36.7659 Ed = -0.007 Ed = 0.374847 | • 16 = 4th quartile Q1 = 1.43 Q3 = ) * N • 16 = 12th quartile = 1.59 • Standard deviation and variance Range Range = highest value – lowest value = 1.78 – 1.22 Population variance - g² = Ed* 0.374847 = 0.0234 16 = 0.56 Population standard deviation - o = 0.0234 = 0.1530 Σα" 0.374847 • Interquartile range Sample variance - s² = 0.0250 N-1 15-1 IQR = Qs – Q1 = 1.59 – 1.44 = 0.16 Sample standard deviation -s = Vs2 = V0.0249 = 0.1578 %3D ||
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