Question

Nadya put the data she collected during her survey in a table. Then she found the mean of each of the four rows of data. Population Data 2 4 5 4 5 2 4 2 4 3 4 3 2 4 4 3 4 4 3 2 Find the mean from each row of data. Between what values will the mean of the actual population be found? 3. 2 and 3. 4 3. 2 and 4 3. 4 and 4 3 and 4.

Answer 1

The values of the mean of the actual population will lie somewhere between 3 and 4.

Given to us

Population Data:

Row1    2  4  5  4  5

Row2   2  4  2  4  3

Row3   4  3  2  4  4

Row4    3  4  4  3  2

What is the mean?

We know that to find the mean we find the ratio of the sum of all observations to the number of observations.

What is the mean of each row?

The mean of each row is stated below,

Mean of Row 1,

$\rm Mean\ of\ Row\ 1 = \dfrac{2+4+5+4+5}{5} = \dfrac{20}{5} = 4$

Mean of Row 2,

$\rm Mean\ of\ Row\ 2 = \dfrac{2+4+2+4+3}{5} = \dfrac{15}{5} = 3$

Mean of Row 3,

$\rm Mean\ of\ Row\ 3 = \dfrac{4+3+2+4+4}{5} = \dfrac{17}{5} = 3.4$

Mean of Row 4,

$\rm Mean\ of\ Row\ 4 = \dfrac{3+4+4+3+2}{5} = \dfrac{16}{5} = 3.2$

What values will the mean of the actual population be found?

As we know the mean of the population in all four cases, therefore, the upper limit of the mean value is 4 while the lower value of the mean values is 3.

Hence, the values of the mean of the actual population will lie somewhere between 3 and 4.

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