Using a normal curve table, give the percentage of scores between the mean and Z score of (a) 0.53, (b) 0.63, (c) 1.37, (d) 1.47, (e) -0.53.  (A) find the percentage of scores between the mean and a Z score of 0.53

To find the percentage of scores between the mean and a Z score of 0.53 using a normal curve table (also called a Z table), follow these steps:

1. **Locate Z = 0.53** in the Z table. The Z table provides the area (or percentage) under the curve from the mean (Z = 0) to the specific Z score.

2. The Z table shows that the area corresponding to Z = 0.53 is **0.2019**. This value represents the proportion of the distribution between the mean and Z = 0.53.

3. **Convert this proportion to a percentage** by multiplying by 100.

\[
0.2019 \times 100 = 20.19\%
\]

### Answer:
The percentage of scores between the mean and a Z score of 0.53 is **20.19%**.

Would you like to proceed with part (b) or need any more details?

---

Here are 5 related questions:
1. What is the percentage of scores between the mean and a Z score of 1.00?
2. How do you find the total percentage between two Z scores, such as 0.53 and 1.00?
3. What is the Z score for a score that is 1 standard deviation above the mean?
4. How do you find the percentage of scores below a negative Z score?
5. How do cumulative percentages relate to Z scores in a normal distribution?

**Tip:** Remember that a Z score tells you how many standard deviations a value is from the mean.

Using a normal curve table, give the percentage of scores between the mean and Z score of (a) 0.53, (b) 0.63, (c) 1.37, (d) 1.47, (e) -0.53.

Learn how to find the percentage of scores between the mean and various Z scores using a normal curve table. The example covers Z scores of 0.53, 0.63, 1.37, 1.47, and -0.53, and provides step-by-step calculations using Z tables. Ideal for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation