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What measure of variability is considered as the simplest to calculate?

Mathematics

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  1. Answer Question 1.

    The range is the difference between the highest and lowest values in a dataset, making it the simplest measure of variability to calculate.
    1. What measure of variability is considered as the simplest to calculate?
    Answer: Range\boxed{\text{Range}}

  2. Answer Question 2.

    The range is calculated by subtracting the lowest score from the highest score.
    The given scores are: 12, 13, 8, 19, 21, 9.

    • Highest score = 21
    • Lowest score = 8
    Range=Highest score−Lowest score\text{Range} = \text{Highest score} - \text{Lowest score} Range=21−8=13\text{Range} = 21 - 8 = 13

    2. What is the range of the following set of scores? Answer: 13\boxed{\text{13}}

  3. Answer Question 3.

    We know that Range=Highest score−Least score\text{Range} = \text{Highest score} - \text{Least score}.
    Given:

    • Least score = 25
    • Range = 15 We can rearrange the formula to find the highest score:
    Highest score=Range+Least score\text{Highest score} = \text{Range} + \text{Least score} Highest score=15+25=40\text{Highest score} = 15 + 25 = 40

    3. In a set of data the least score is 25 and the range is 15, what is the highest score in the set? Answer: 40\boxed{\text{40}}

  4. Answer Question 4.

    We know that Range=Highest score−Lowest score\text{Range} = \text{Highest score} - \text{Lowest score}.
    Given:

    • Highest score (Jem's score) = 89 points
    • Range = 12 points We can rearrange the formula to find the lowest score (Jenny's score):
    Lowest score=Highest score−Range\text{Lowest score} = \text{Highest score} - \text{Range} Lowest score=89−12=77\text{Lowest score} = 89 - 12 = 77

    4. In an exam, the teacher announced that Jem got the highest score of 89 points and the range of the scores is 12. If Jenny got the lowest score, how many points did she get? Answer: 77 points\boxed{\text{77 points}}

  5. Answer Question 5.

    We need to find the highest score for each group using the formula: Highest score=Range+Least score\text{Highest score} = \text{Range} + \text{Least score}.
    For Group A:

    • Range = 10
    • Least score = 5
    Highest score for Group A=10+5=15\text{Highest score for Group A} = 10 + 5 = 15

    For Group B:

    • Range = 30
    • Least score = 5
    Highest score for Group B=30+5=35\text{Highest score for Group B} = 30 + 5 = 35

    Comparing the highest scores, Group B has a highest score of 35, which is greater than Group A's highest score of 15. 5. Group A has a range of 10 while group B has a range of 30 in a quiz given by the teacher. If both group's least score is 5, which group got the highest score in the test? Answer: Group B\boxed{\text{Group B}}

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