Maths-
General
Easy

Question


Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?

hintHint:

Hint:
  • The mean of any group of numbers is equal to the sum of those numbers to total numbers.

The correct answer is: x = 2.6


    Explanation:
    • We have given data of masses of rocks collected by Andrew and maria
    • We have to find the value of x.
    Step 1 of 1:
    The mean of the masses of the rocks Andrew collected
    equals open parentheses fraction numerator 2.4 plus 2.5 plus 3.6 plus 3.1 plus 2.5 plus 2.7 over denominator 6 end fraction close parentheses
    equals fraction numerator 16.8 over denominator 6 end fraction
    = 2.8
    The mean of the masses of the rocks Maria collected
     = fraction numerator left parenthesis x plus 3.1 plus 2.7 plus 2.9 plus 3.3 plus 2.8 right parenthesis over denominator 6 end fraction
     equals fraction numerator left parenthesis x plus 14.8 right parenthesis over denominator 6 end fraction
    Since the mean of the masses of the rocks, Maria collected is 0.1 kilograms greater than the mean of the masses of the rocks Andrew collected,
     fraction numerator left parenthesis x plus 14.8 right parenthesis over denominator 6 end fraction equals 0.1 plus 2.8
     fraction numerator left parenthesis x plus 14.8 right parenthesis over denominator 6 end fraction equals 2.9
     x plus 14.8 equals 2.9 cross times 6
     x plus 14.8 equals 17.4
     x equals 17.4 minus 14.8
     x equals fraction numerator begin display style 13 end style over denominator 5 end fraction
     x = 2.6

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