BIO LAB #1

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University of Notre Dame *

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Statistics

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Apr 3, 2024

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Kanzah Jabeen Lab 2 Measurement Question 2: 1 m = 100 cm = 1000 mm 92.4 mm = 0.0924 m = 9.24 cm 10 km = 10000 m = 100000 dm 82 cm = 0.82 m = 820 mL 3.1 kg = 3100 g = 3100000 mg 281 mL = 0.281 L = 2.81 dL 35 mm = 3.5 cm = 0.035 m Procedure 2.7: Gather and Analyze Data Statistically FEMALE HEIGHT (cm) MALE HEIGHT (cm) 157.48 182.88 160.02 172.72 170.18 193.04 162.56 172.72 157.48 185.42 167.64 170.18 149.86 160.02 170.18 170.18 165.10 162.56 160.02 139.70 SIZE OF SAMPLE: All Classmates 20 Male Classmates 5 Female Classmates 15

Kanzah Jabeen MEAN OF SAMPLE: All Classmates 166.497 cm Female Classmates 161.544 cm Male Classmates 181.356 cm All Classmates Mean ¿ 3329.94 20 = 166.497 cm Female Classmates Mean ¿ 2423.16 15 = 161.544 cm Male Classmates Mean 906.78 5 = 181.356 cm MEDIAN OF SAMPLE: All Classmates 166.37 cm Female Classmates 162.56 cm Male Classmates 182.88 cm RANGE OF SAMPLE: All Classmates 53.34 cm Female Classmates 30.48 cm Male Classmates 20.32 cm All Classmates Range ¿ Max − Min = 193.04 cm − 139.70 cm = 53.34 cm Female Classmates Range ¿ Max − Min = 170.18 cm − 139.70 cm = 30.48 cm Male Classmates Range ¿ Max − Min = 193.04 cm − 172.72 cm = 20.32 cm STANDARD DEVIATION OF SAMPLE: All Classmates 12.0968 Female Classmates 8.4679 Male Classmates 8.7252

Kanzah Jabeen All Classmates Standard Deviation x x 2 157.48 24799.9504 160.02 25606.4004 170.18 28961.2324 162.56 26425.7536 157.48 24799.9504 167.64 28103.1696 170.18 28961.2324 149.86 22458.0196 160.02 25606.4004 170.18 28961.2324 170.18 28961.2324 165.10 27258.01 162.56 26425.7536 160.02 25606.4004 139.70 19516.09 182.88 33445.0944 172.72 29832.1984 193.04 37264.4416 172.72 29832.1984 185.42 34380.5764 ∑ x = 3329.94 ( ∑ x ) 2 n = 11088500.4036 20 = 554425.02018 ∑ x 2 = 557205.3372 ∑ x 2 − ¿ ( ∑ x ) 2 n = 557205.3372 − 554425.02018 = 2780.3170200001 ¿ s 2 = ∑ x 2 − ¿ ( ∑ x ) 2 n n − 1 = 2780.3170200001 20 − 1 = 146.33247473685 ¿ s 2 = √ 146.33247473685 ¿ 12.0968

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Kanzah Jabeen Female Standard Deviation x x 2 157.48 24799.9504 160.02 25606.4004 170.18 28961.2324 162.56 26425.7536 157.48 24799.9504 167.64 28103.1696 170.18 28961.2324 149.86 22458.0196 160.02 25606.4004 170.18 28961.2324 170.18 28961.2324 165.10 27258.01 162.56 26425.7536 160.02 25606.4004 139.70 19516.09 ∑ x = 2423.16 ( ∑ x ) 2 n = 5871704.3856 15 = 391446.95904 ∑ x 2 = 392450.828 ∑ x 2 − ¿ ( ∑ x ) 2 n = 392450.828 − 391446.95904 = 1003.86896 ¿ s 2 = ∑ x 2 − ¿ ( ∑ x ) 2 n n − 1 = 1003.86896 15 − 1 = 71.704925714285 ¿ s 2 = √ 71.704925714285 ¿ 8.4679

Kanzah Jabeen Male Standard Deviation x x 2 182.88 33445.0944 172.72 29832.1984 193.04 37264.4416 172.72 29832.1984 185.42 34380.5764 ∑ x = 906.78 ( ∑ x ) 2 n = 822249.9684 5 = 164449.99368 ∑ x 2 = 164754.5092 ∑ x 2 − ¿ ( ∑ x ) 2 n = 164754.5092 − 164449.99368 = 304.51552000002 ¿ s 2 = ∑ x 2 − ¿ ( ∑ x ) 2 n n − 1 = 304.51552000002 5 − 1 = 76.18880000004 ¿ s 2 = √ 76.18880000004 ¿ 8.7252