Get detailed and accurate answers to your questions on IDNLearn.com. Get comprehensive answers to all your questions from our network of experienced experts.
Sagot :
To determine which distribution has the greatest spread, we need to compare the standard deviations of the four distributions. The standard deviation is a measure of how spread out the values in a distribution are. The greater the standard deviation, the greater the spread of the distribution.
Here is the given data in the table format:
[tex]\[ \begin{array}{|l|r|r|} \hline & \text{Mean} & \text{Standard Deviation} \\ \hline \text{Distribution 1} & 22 & 0.2 \\ \hline \text{Distribution 2} & 21 & 0.8 \\ \hline \text{Distribution 3} & 19 & 1.2 \\ \hline \text{Distribution 4} & 20 & 3.2 \\ \hline \end{array} \][/tex]
To find which distribution has the greatest spread, we look at the standard deviations:
- Distribution 1: Standard Deviation = 0.2
- Distribution 2: Standard Deviation = 0.8
- Distribution 3: Standard Deviation = 1.2
- Distribution 4: Standard Deviation = 3.2
Comparing these values, we can see that the standard deviation of Distribution 4 is the highest, which is [tex]\(3.2\)[/tex].
Thus, Distribution 4 has the greatest spread.
[tex]\[ \boxed{\text{Distribution 4}} \][/tex]
Here is the given data in the table format:
[tex]\[ \begin{array}{|l|r|r|} \hline & \text{Mean} & \text{Standard Deviation} \\ \hline \text{Distribution 1} & 22 & 0.2 \\ \hline \text{Distribution 2} & 21 & 0.8 \\ \hline \text{Distribution 3} & 19 & 1.2 \\ \hline \text{Distribution 4} & 20 & 3.2 \\ \hline \end{array} \][/tex]
To find which distribution has the greatest spread, we look at the standard deviations:
- Distribution 1: Standard Deviation = 0.2
- Distribution 2: Standard Deviation = 0.8
- Distribution 3: Standard Deviation = 1.2
- Distribution 4: Standard Deviation = 3.2
Comparing these values, we can see that the standard deviation of Distribution 4 is the highest, which is [tex]\(3.2\)[/tex].
Thus, Distribution 4 has the greatest spread.
[tex]\[ \boxed{\text{Distribution 4}} \][/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.