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Ibrahim has two lists of numbers. The mean of the numbers in the first list is p. The mean of the numbers in the second list is q. Ibrahim combines the two lists into one new list of numbers. Ibrahim says ‘The mean of the new list of numbers is equal to (p+q)/2 .' One of two conditions must be satisfied for Ibrahim to be correct. (b) Write down each of these conditions.

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Explanation:

The two conditions that must be satisfied for Ibrahim to be correct are:

1. The range of numbers in each list must also be the same.

2. The number of numbers in both list must also be same.

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