We appreciate your visit to Consider a set of data in which the sample mean is 34 4 and the sample standard deviation is 3 7 Calculate the z score. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To calculate the z-score for a data point, we use the formula:
[tex]\[ z = \frac{x - \text{mean}}{\text{standard deviation}} \][/tex]
Let's break this down with the given data:
1. Identify the values:
- The sample mean ([tex]\(\text{mean}\)[/tex]) is 34.4.
- The sample standard deviation ([tex]\(\text{standard deviation}\)[/tex]) is 3.7.
- The data point ([tex]\(x\)[/tex]) we're interested in is 35.8.
2. Plug the values into the z-score formula:
[tex]\[ z = \frac{35.8 - 34.4}{3.7} \][/tex]
3. Calculate the difference in the numerator:
[tex]\[ 35.8 - 34.4 = 1.4 \][/tex]
4. Divide the difference by the standard deviation:
[tex]\[ z = \frac{1.4}{3.7} \approx 0.378 \][/tex]
5. Round the result to two decimal places:
The z-score is approximately 0.38.
Therefore, the z-score for the data point [tex]\(x = 35.8\)[/tex] is 0.38.
[tex]\[ z = \frac{x - \text{mean}}{\text{standard deviation}} \][/tex]
Let's break this down with the given data:
1. Identify the values:
- The sample mean ([tex]\(\text{mean}\)[/tex]) is 34.4.
- The sample standard deviation ([tex]\(\text{standard deviation}\)[/tex]) is 3.7.
- The data point ([tex]\(x\)[/tex]) we're interested in is 35.8.
2. Plug the values into the z-score formula:
[tex]\[ z = \frac{35.8 - 34.4}{3.7} \][/tex]
3. Calculate the difference in the numerator:
[tex]\[ 35.8 - 34.4 = 1.4 \][/tex]
4. Divide the difference by the standard deviation:
[tex]\[ z = \frac{1.4}{3.7} \approx 0.378 \][/tex]
5. Round the result to two decimal places:
The z-score is approximately 0.38.
Therefore, the z-score for the data point [tex]\(x = 35.8\)[/tex] is 0.38.
Thanks for taking the time to read Consider a set of data in which the sample mean is 34 4 and the sample standard deviation is 3 7 Calculate the z score. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
