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1-6, 2-3, 3-1, 4-3, 5-6

Find the mean of the dataset.

(1 point)
Responses

2
2

3
3

4
4

5

3 answers

To find the mean of the dataset \( {1-6, 2-3, 3-1, 4-3, 5-6} \), we first convert these pairs into a list of numbers and then calculate the mean.

Let's extract the numbers from the pairs:

  • From \( 1-6 \): let's take the numbers as \( 1 \) and \( 6 \).
  • From \( 2-3 \): \( 2 \) and \( 3 \).
  • From \( 3-1 \): \( 3 \) and \( 1 \).
  • From \( 4-3 \): \( 4 \) and \( 3 \).
  • From \( 5-6 \): \( 5 \) and \( 6 \).

This gives us the dataset: \( {1, 6, 2, 3, 3, 1, 4, 3, 5, 6} \).

Now, we will calculate the mean:

  1. Sum of the dataset: \[ 1 + 6 + 2 + 3 + 3 + 1 + 4 + 3 + 5 + 6 = 34 \]

  2. Count of numbers in the dataset: There are 10 numbers.

  3. Mean calculation: \[ \text{Mean} = \frac{\text{Sum}}{\text{Count}} = \frac{34}{10} = 3.4 \]

Since the options provided do not include \( 3.4 \), please check if there might have been an error in extracting the numbers or in the options provided. However, with the calculations we did, the mean of the dataset is \( 3.4 \).

pick one

From the options provided, the closest integer to the mean we calculated (3.4) is 3.