Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6.a)b)c) **Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6.****a. What is the probability that a 2nd grader will score above 72 on the exam?****b. What is the exam score at the 25th percentile of the distribution?****c. What is the exam score at the 95th percentile (such that only 5% of all 2nd graders score above it)?**

Answered: Scores on a standardized exam for 2nd…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)

**Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6.**

**a. What is the probability that a 2nd grader will score above 72 on the exam?**

**b. What is the exam score at the 25th percentile of the distribution?**

**c. What is the exam score at the 95th percentile (such that only 5% of all 2nd graders score above it)?**

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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