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Define Mean absolute error

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प्रश्न

Define Mean absolute error.

थोडक्यात उत्तर
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उत्तर

For a given set of measurements of the same quantity, the arithmetic mean of all the absolute errors is called mean absolute error in the measurement of that physical quantity.

`triangle "a"_"mean" = (triangle"a"_1 + triangle"a"_2 + ......+ triangle"a"_"n")/"n" = 1/"n"` \[\sum_{i=1}^n\triangle a_i\]

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पाठ 1: Units and Measurements - Exercises [पृष्ठ १४]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 1 Units and Measurements
Exercises | Q 2. (iii) 2. | पृष्ठ १४

संबंधित प्रश्‍न

Define absolute error.


Define relative error.


If the measured values of the two quantities are A ± ΔA and B ± ΔB, ΔA and ΔB being the mean absolute errors. What is the maximum possible error in A ± B? Show that if Z = `"A"/"B"`

`(Delta "Z")/"Z" = (Delta "A")/"A" + (Delta "B")/"B"`


Answer the following question.

Show that if Z = `"A"/"B"`, `(triangle"Z")/"Z" = (triangle"A")/"A" + (triangle "B")/"B"`


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The distance travelled by an object in time (100 ± 1)s is (5.2 ± 0.1) m. What are the speed and its maximum relative error?


In a workshop, a worker measures the length of a steel plate with Vernier calipers having a least count 0.01 cm. Four such measurements of the length yielded the following values: 3.11 cm, 3.13 cm, 3.14 cm, 3.14 cm. Find the mean length, the mean absolute error, and the percentage error in the measured value of the length.


Solve the numerical example.

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The mean length of an object is 5 cm. Which of the following measurements is most accurate?


The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5 mm, calculate the minimum inaccuracy in the measurement of distance.


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Constant error can be caused due to ______.


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