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Find the mean of the numbers 3,8,5,12,14 and 12. What is the mean of the numbers: 6.5,6.5,9.5,8.0,14.5,8.0,3.0,7.5,16.5,7.0,8.0. Find the median score of 1,3,0,5,1,6,1,4

Mathematics

ScanSolve AI Answer

Answer

8.68\mathbf{8.68}

Step-by-step solution

3 steps

Let's go through the problems.

For the mean calculation in question 2:
The formula for the mean (xˉ\bar{x}) is the sum of all values (∑x\sum x) divided by the number of values (nn).

xˉ=∑xn\bar{x} = \frac{\sum x}{n}
  1. Sum the given numbers.

    The numbers are 6.5,6.5,9.5,8.0,14.5,8.0,3.0,7.5,16.5,7.0,8.06.5, 6.5, 9.5, 8.0, 14.5, 8.0, 3.0, 7.5, 16.5, 7.0, 8.0.

    ∑x=6.5+6.5+9.5+8.0+14.5+8.0+3.0+7.5+16.5+7.0+8.0=95.5\sum x = 6.5 + 6.5 + 9.5 + 8.0 + 14.5 + 8.0 + 3.0 + 7.5 + 16.5 + 7.0 + 8.0 = 95.5
  2. Count the number of values.

    There are 11 numbers in the list, so n=11n = 11.

  3. Calculate the mean.

    xˉ=95.511≈8.6818\bar{x} = \frac{95.5}{11} \approx 8.6818

    Rounding to two decimal places, we get:

    xˉ≈8.68\bar{x} \approx 8.68

    The mean of the numbers is 8.68\boxed{\mathbf{8.68}}.

    Your calculation for the mean in the first example (xˉ=9\bar{x} = 9) is ✅ Correct.
    Your calculation for the median in the first example (Md=3Md = 3) is ✅ Correct.

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