The following table shows the number of dancers at each dance events at a Studio.

48, 33, ?

If the mean of the data set is 41 dancers, find the number of dancers at Moonwalk studio.

The missing number of dancers can be found by using the formula for the mean:

mean = (sum of all numbers) / (number of numbers)

We can set up an equation and solve for the missing number:

(48 + 33 + x) / 3 = 41

Multiplying both sides by 3:

48 + 33 + x = 123

Simplifying:

81 + x = 123

Subtracting 81 from both sides:

x = 42

Therefore, there were 42 dancers at the Moonwalk studio.

Thanks!!!!

You're welcome! If you have any more questions, feel free to ask.

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9, ?, 7

If the mean of the data set is 7 raisins, find the number of raisins in each box.

To find the missing number, we can use the formula for the mean:

mean = (sum of all numbers) / (number of numbers)

If we let x be the number of raisins in the missing box, the equation would be:

(9 + x + 7) / 3 = 7

Multiplying both sides by 3:

9 + x + 7 = 21

Simplifying:

x + 16 = 21

Subtracting 16 from both sides:

x = 5

Therefore, there were 5 raisins in the missing box.

Thanks!!!!!!!!

You're welcome! If you have any more questions, don't hesitate to ask.

Diego is a wildlife researcher. They were analyzing the mean and median lengths of 9 whales their team had observed. The whales all had different lengths between 23m and 27m.

Diego found out that they were misreading the shortest length. It was actually 20m not 23m.

How will this length decreasing affect the mean and median?