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For the following table, write the mathematical function for each of the following: 1. Logarithm of cell D4. 2. Cell C2 raised to the power of 2.

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السؤال الثالث: للجدول الآتي اكتب الدالة الرياضية لكل مما يأتي
(For the following table, write the mathematical function for each of the following)

The table provided is:

ABCDE
1تالاسمامتحان 1امتحان 2امتحان 3
21ماي676767
32رامي768773
43شيماء868573
54زحل565665
65مروة987597
76ضياء674584
87أمجد887674

1. لوغاريتم الخلية D4
(Logarithm of cell D4)

  1. Identify the value in cell D4.

    From the table, the value in cell D4 is 85.

  2. Write the logarithm function for this value.

    In Excel, the natural logarithm (base e) is LN(), and the common logarithm (base 10) is LOG10(). If a specific base is not mentioned, LN() is often assumed for "logarithm" in a general context, or LOG() for a specified base. Assuming natural logarithm:

    =LN(D4)=\text{LN}(\text{D4}) =LN(85)=\text{LN}(85)

    The function is =LN(D4)\boxed{=\text{LN}(\text{D4})}.

    2. الخلية C2 مرفوعة إلى الأس 2
    (Cell C2 raised to the power of 2)

  3. Identify the value in cell C2.

    From the table, the value in cell C2 is 67.

  4. Write the function to raise this value to the power of 2.

    In Excel, the power function is POWER(base, exponent) or using the ^ operator.

    =POWER(C2,2)=\text{POWER}(\text{C2}, 2) =C2^2=\text{C2}\text{\textasciicircum}2 =67^2=67\text{\textasciicircum}2

    The function is =C2^2\boxed{=\text{C2}\text{\textasciicircum}2}.

    3. الجذر التربيعي للخلية E7
    (Square root of cell E7)

  5. Identify the value in cell E7.

    From the table, the value in cell E7 is 84.

  6. Write the square root function for this value.

    In Excel, the square root function is SQRT().

    =SQRT(E7)=\text{SQRT}(\text{E7}) =SQRT(84)=\text{SQRT}(84)

    The function is =SQRT(E7)\boxed{=\text{SQRT}(\text{E7})}.

    4. الوسيط الحسابي للخلايا C2:C8
    (Arithmetic mean of cells C2:C8)

  7. Identify the range of cells C2:C8.

    The values in this range are 67, 76, 86, 56, 98, 67, 88.

  8. Write the function for the arithmetic mean (average) of this range.

    In Excel, the average function is AVERAGE().

    =AVERAGE(C2:C8)=\text{AVERAGE}(\text{C2}:\text{C8})

    The function is =AVERAGE(C2:C8)\boxed{=\text{AVERAGE}(\text{C2}:\text{C8})}.

    5. المنوال للخلايا E2:E8
    (Mode of cells E2:E8)

  9. Identify the range of cells E2:E8.

    The values in this range are 67, 73, 73, 65, 97, 84, 74.

  10. Write the function for the mode of this range.

    In Excel, the mode function is MODE.SNGL() for a single mode, or MODE.MULT() for multiple modes. Assuming a single mode is requested:

    =MODE.SNGL(E2:E8)=\text{MODE.SNGL}(\text{E2}:\text{E8})

    The function is =MODE.SNGL(E2:E8)\boxed{=\text{MODE.SNGL}(\text{E2}:\text{E8})}.

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