A set of test scores is skewed to the left, has a mean of 74%, and a standard deviation of 12%.  All test scores were between 50 and 100.    If Tamia's test score has a Z-score of 1.0, how many standard deviations is Tamia's test score above the mean?

Round your answer to one decimal place.

Your Answer:

Tamia's Z-score of 1.0 means that her test score is 1 standard deviation above the mean.

Since the problem is asking for how many standard deviations Tamia's test score is above the mean, the answer is simply:

**1.0 standard deviation above the mean.**

Would you like further details or have any additional questions?

Here are 5 related questions you might consider:
1. How do you calculate a Z-score in general?
2. What does it mean for a distribution to be skewed to the left?
3. If Tamia’s Z-score was -1, how would that affect her position relative to the mean?
4. What is the relationship between Z-scores and probability?
5. How do outliers affect the mean and standard deviation?

**Tip:** A Z-score indicates how many standard deviations a data point is from the mean. Positive Z-scores are above the mean, and negative ones are below the mean.

Learn how to interpret Z-scores and standard deviation in statistics with a practical example. This problem explains how to calculate how many standard deviations a data point is from the mean, using Tamia's test score as an example with a mean of 74% and a standard deviation of 12%. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation