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
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