Question

Explore

Answer 1

The 2nd dot plot in the attachment represents the dot plot that has the same sample mean as the population mean

How to create the dot plot?

The dot plot that completes the question is added as an attachment.

Start by calculating the mean of the data plot using:

$\bar x = \frac{\sum fx}{\sum f}$

Substitute the values on the dot plot

$\bar x = \frac{2*1+3*3+4*2+5+6*3+7*5+8*2+9*4+11*2+12*2}{25}$

$\bar x = 7$

This means that the population mean of the dot plot is 7

Next, we create another dot plot that has the same mean as 7.

There are no direct rules to this, so we make use of the trial by error method.

After several attempts, we have the following frequency table:

Data point      Frequency

2                                  1

3                                  2

4                                  0

5                                  4

6                                  5

7                                  2

8                                  5

9                                  0

10                                 2

12                                 3

The mean of the frequency table is:

$\bar x = \frac{2 * 1 + 3 * 2 + 4 * 0 + 5 * 4 + 6 * 5 + 7 * 2 + 8 * 5 + 9 * 0 + 10 * 2 + 12 * 3}{1+2+0+4+5+2+5+0+2+3}$

Evaluate

$\bar x = \frac{168}{24}$

Evaluate the quotient

$\bar x = 7$

This means that the sample mean is 7 (same as the population mean)

Lastly, we represent the frequency table using a dot plot (the 2nd dot plot in the attachment)

Read more about dot plot at:

brainly.com/question/21862696

#SPJ1