nadya put the data she collected during her survey in a table. then she found the mean of each of the four…

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.\npopulation data\n2 4 5 4 5\n2 4 2 4 3\n4 3 2 4 4\n3 4 4 3 2\nfind the mean from each row of data. between what values will the mean of the actual population be found?\n3.2 and 3.4\n3.2 and 4\n3.4 and 4\n3 and 4

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.\npopulation data\n2 4 5 4 5\n2 4 2 4 3\n4 3 2 4 4\n3 4 4 3 2\nfind the mean from each row of data. between what values will the mean of the actual population be found?\n3.2 and 3.4\n3.2 and 4\n3.4 and 4\n3 and 4

Answer

Explanation:

Step1: Calculate mean of first row

The first - row data is 2, 4, 5, 4, 5. The mean formula is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $n = 5$ and $\sum_{i=1}^{5}x_{i}=2 + 4+5 + 4+5=20$. So the mean $\bar{x}_1=\frac{20}{5}=4$.

Step2: Calculate mean of second row

The second - row data is 2, 4, 2, 4, 3. Here $n = 5$ and $\sum_{i = 1}^{5}x_{i}=2 + 4+2 + 4+3 = 15$. So the mean $\bar{x}_2=\frac{15}{5}=3$.

Step3: Calculate mean of third row

The third - row data is 4, 3, 2, 4, 4. Here $n = 5$ and $\sum_{i = 1}^{5}x_{i}=4 + 3+2 + 4+4 = 17$. So the mean $\bar{x}_3=\frac{17}{5}=3.4$.

Step4: Calculate mean of fourth row

The fourth - row data is 3, 4, 4, 3, 2. Here $n = 5$ and $\sum_{i = 1}^{5}x_{i}=3 + 4+4 + 3+2 = 16$. So the mean $\bar{x}_4=\frac{16}{5}=3.2$.

Step5: Determine range of population mean

The means of the rows are 4, 3, 3.4, 3.2. The minimum of these means is 3.2 and the maximum is 4. So the mean of the actual population will be between 3.2 and 4.

Answer:

3.2 and 4