The length of a rod as measured in an experiment was found to be 2.48m, 2.46m, 2.49m, 2.50m, and 2.48m. Find the
average length, the absolute error in each observation and the percentage error.
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Answer:
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Explanation:
Average length
Average length=
Average length=2.48+2.46+2.49+2.50+2.48
Average length=2.48+2.46+2.49+2.50+2.485
Average length=2.48+2.46+2.49+2.50+2.485
Average length=2.48+2.46+2.49+2.50+2.485 =
Average length=2.48+2.46+2.49+2.50+2.485 =12.41
Average length=2.48+2.46+2.49+2.50+2.485 =12.415
Average length=2.48+2.46+2.49+2.50+2.485 =12.415
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =0.00+0.02+0.01+0.02+0.00
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =0.00+0.02+0.01+0.02+0.005
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =0.00+0.02+0.01+0.02+0.005
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =0.00+0.02+0.01+0.02+0.005 =0.01m
Average length=2.48+2.46+2.49+2.50+2.485 =12.415 m=2.482m=2.48m(rounded off to 2 places)Absolute errors id different measurements are ,Δl1=2.48-2.48=0.00mΔl2=2.48-2.46=0.02mΔl3=2.48-2.49=0.01mΔl4=2.48-2.50=0.02mΔl5=2.48-2.48=0.00mMean absoulte error =Σ|ΔL|5 =0.00+0.02+0.01+0.02+0.005 =0.01m∴Correct length=(2.48±0.01)m
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Explanation:
Answer: Explanation: average length= (2.48 + 2.46 + 2.49 + 2.50 + 2.48)/5 =2.482.
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