有少少英中F.2Maths的問題

吾明以下的計法同差別...

accumlated error

degree of accuracy

relative error

percentage error

maximum absolute error

maximum error

幫幫手!THX~><

3 個解答

評分
  • 匿名
    8 年前
    最愛解答

    Accumulated erro: if the number x had an error so the other number y will also have an error, the error are accumulated so it a accumulated error.

    degree of accuracy: The degree of accuracy is half a unit each side of the unit of measure (e.g. you want to measure 1cm, from 7.5 the answer will be 8.5)

    relative error: Gives an indication of how good a measurement is relative to the

    size of the thing being measured.

    Percentage error:

    show the error as a percent of the exact value ... so divide by the exact value and make it a percentage:

    Maximum absolute error: The highest point over the entire domain of a function or relation.

    maximum error: The maximum error of the estimate is denoted by E and is one-half the width of the confidence interval.

    資料來源: me, mathisfun.com
  • 8 年前

    我是特意過來支持贊助大家ga~

    努力學習!

    =^o^=

  • 8 年前

    ****本人希望可以得到最佳****

    以下一段打了一個小時啦((淚

    Yahoo 知識都有好多關於以下topic 既野...((可能relative error 一個一段野咁

    如果唔明既可以search 下既

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    1.degree of accuracy:

    其實姐係你成日係書個到睇到既correct to the nearest ____ (degree,1dp,hundred etc.)

    for example:

    12345=10000 (corr. to 1 sig. fig.) (一位有效數字)

    13.56=13.6 (corr. to 1 dp) (一個小數點)

    ----依d我諗你會明既,因為小學都用過。-----

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    2. Max. error and Max. absolute error:

    2者是相同的。

    中文是最大(絕對)誤差

    Max. error = (1/2) * (difference between two adjacent measurement unit).

    例如:一把直尺,每一格相差0.1cm (or 1mm)

    姐係: Max. error=(1/2)*(1mm) =0.5mm

    又或者咁講:

    一支筆既長度係10cm (correct to the nearest mm)

    咁姐係話Max Error=(1/2)*(1mm)=0.5mm

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    3. Range of the actual value (我諗你都用到)

    Lower limit 同upper limit

    lower limit= measured value - max.error (Max.error就係以上個個)

    Upper limit= measured value +max. error

    搵反支筆做例子:

    10cm既一支筆,可能你用ruler 個陣唔係真係10cm,可能係2個刻度之間

    咁依支筆既長度

    upper limit=100mm+0.5mm=105mm

    lower limit = 100mm-0.5mm=95mm

    咁有咩用既呢?

    係咁既,無論支筆真實幾長都好

    都係一個range入面

    個range 就係 lower limit &lE;x(支筆真實長度)<upper limit

    (姐係95mm<=x<105mm) (注意符號<=及<)

    (<=為少於或等於)

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    4.accumlated error:

    依個係最煩既...最多Step

    follow 以下step

    1.find out max.error

    2.find out measured value, upper and lower limit

    3.upper limit - measured value

    4. measured value - lower limit

    5. compare the difference in step 3 and 4

    because XXX(bigger one) > xxx(smaller one)

    therefore, the accumulated error is XXX.

    E.g. 一個邊長為5cm 既正方形 (correct to the nearest cm)

    (step 1)

    Max error= 1/2*(1cm)=0.5cm

    (step 2)

    upper limit =(measured value+max.error)^2=(5+0.5)^2=30.25cm^2

    lower limit=(measured value-max.error)^2=(5-0.5)^2=20.25cm^2

    measured value= 5*5=25cm^2

    (step3 and 4)

    upper limit - measured value=5.25

    measured value - lower limit=4.75

    (step5)

    because 5.25>4.75

    therefore the accumulated error=5.25.

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    資料來源: myself
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