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The table below show the score of a JSS.1 student in a recently concluded examination. Find the following: Total score, The average mark, the median mark, the mode, the range.

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps

Here are the calculations based on the provided scores: 60, 90, 60, 60, 72, 80, 60, 80.

  1. List the scores and calculate the total score.

    The scores are 60,90,60,60,72,80,60,8060, 90, 60, 60, 72, 80, 60, 80.
    The number of scores is 8.

    Total score=60+90+60+60+72+80+60+80=562\text{Total score} = 60 + 90 + 60 + 60 + 72 + 80 + 60 + 80 = 562

    The total score is 562\boxed{\text{562}}.

  2. Calculate the average mark.

    The average mark is the total score divided by the number of scores.

    Average mark=Total scoreNumber of scores=5628=70.25\text{Average mark} = \frac{\text{Total score}}{\text{Number of scores}} = \frac{562}{8} = 70.25

    The average mark is 70.25\boxed{\text{70.25}}.

  3. Find the median mark.

    First, arrange the scores in ascending order:
    60,60,60,60,72,80,80,9060, 60, 60, 60, 72, 80, 80, 90
    Since there is an even number of scores (8), the median is the average of the two middle scores (the 4th4^{th} and 5th5^{th} scores).
    The 4th4^{th} score is 60.
    The 5th5^{th} score is 72.

    Median mark=60+722=1322=66\text{Median mark} = \frac{60 + 72}{2} = \frac{132}{2} = 66

    The median mark is 66\boxed{\text{66}}.

  4. Find the mode.

    The mode is the score that appears most frequently.
    In the sorted list 60,60,60,60,72,80,80,9060, 60, 60, 60, 72, 80, 80, 90:
    The score 60 appears 4 times.
    The score 72 appears 1 time.
    The score 80 appears 2 times.
    The score 90 appears 1 time.
    The score that appears most frequently is 60.
    The mode is 60\boxed{\text{60}}.

  5. Find the range.

    The range is the difference between the highest and lowest scores.
    Highest score = 90
    Lowest score = 60

    Range=Highest score−Lowest score=90−60=30\text{Range} = \text{Highest score} - \text{Lowest score} = 90 - 60 = 30

    The range is 30\boxed{\text{30}}.

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