The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temperatures could

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The low temperatures in Anchorage, Alaska, for a week were − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius. What two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers?

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Ximena 2 weeks 2021-12-31T02:34:35+00:00 1 Answer 0 views 0

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    2021-12-31T02:35:49+00:00

    The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

    Step-by-step explanation:

    The formula of the average of a set of data is A=\frac{S}{N} , where

    • S is the sum of the data in the set
    • N is the number of the data in the set

    ∵ The low temperatures in Anchorage, Alaska, for a week were

       − 6, − 3, − 1, 1, − 3, − 9, and − 14 degrees Celsius

    ∴ The set of the data is { -6 , -3 , -1 , 1 , -3 , -9 , -14}

    – Add the data in the set

    ∵ S = -6 + -3 + -1 + 1 + -3 + -9 + -14

    S = -35

    ∵ The set has 7 data

    N = 7

    – Use the formula of the average above to find it

    A=\frac{-35}{7}

    A = -5

    ∴ The average of the original set of numbers is -5

    To keep the average the same after removing two numbers multiply the average by the new number of data to find the new sum

    ∵ The number of data after removing two numbers is 5

    N = 5

    A = -5

    – By using the rule of average

    -5=\frac{S}{5}

    – Multiply both sides by 5

    ∴ -25 = S

    The new sum is -25

    – Lets find which two numbers of have a sum of -10 because

       the difference between -35 and -25 is -10

    -1 + -9 = -10

    -6 + -3 + 1 + -3 + -14 = -25

    ∴ We could removed -1 and -9

    The two temperatures could be removed so that the average of the remaining numbers is the same as the average of the original set of numbers are -1 and -9

    Learn more:

    You can learn more about the average in brainly.com/question/10764770

    #LearnwithBrainly

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45:7+7-4:2-5:5*4+35:2 =? ( )