Answered: The mean score and the standard score…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.1: Stem-and-leaf Plots And Histograms

Problem 16E

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Instruction: Solve the following Problems: (Show your solutions and sketch the graph).

1. The mean score and the standard score in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test they are respectively equal to 70 and 2. If Beth got a score of 85 in statistics and a score of 75 in Mathematics, in which subject is her standing better assuming normality in both subjects?

2. In an English test, the mean is 60 and the standard deviation is 6. Assuming the scores are normally distributed, what percent of the score is
a. Greater than 65?
b. Less than 70?
c. Between 50 and 65?

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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