| Masses (kilograms) | ||||||
|---|---|---|---|---|---|---|
| Andrew | 2.4 | 2.5 | 3.6 | 3.1 | 2.5 | 2.7 |
| Maria | x | 3.1 | 2.7 | 2.9 | 3.3 | 2.8 |
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 ?
Correct answer: 2.6 (parsed from the explanation — this source omits an answer key for this item)
Explanation
The correct answer is 2.6. Since the mean of a set of numbers can be found by adding the numbers together and dividing by how many numbers there are in the set, the mean mass, in kilograms, of the rocks Andrew collected is , or 2.8. Since the mean mass of the rocks Maria collected is 0.1 kilogram greater than the mean mass of rocks Andrew collected, the mean mass of the rocks Maria collected is
kilograms. The value of x can be found by writing an equation for finding the mean:
. Solving this equation gives
. Note that 2.6 and 13/5 are examples of ways to enter a correct answer.
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