The mean monthly maximum temperatures for January in Melbourne can be modelled by a Normal distribution with mean, μ = 25.95 OC and a standard deviation, σ = 1.13 OC.What is the probability that the average maximum temperature for a randomly selected January was more than 26.9 OC? (4 dp) What proportion of January months would you expect the average maximum temperature to be less than 24.9OC? (4 dp) What proportion of January months would you expect the average maximum temperature to be between 24.9OC and 26.9OC? (4 dp)

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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The mean monthly maximum temperatures for January in Melbourne can be modelled by a Normal distribution with mean, μ = 25.95 ^OC and a standard deviation, σ = 1.13 ^OC.

What is the probability that the average maximum temperature for a randomly selected January was more than 26.9^OC? (4 dp)
What proportion of January months would you expect the average maximum temperature to be less than 24.9^OC? (4 dp)
What proportion of January months would you expect the average maximum temperature to be between 24.9^OC and 26.9^OC? (4 dp)

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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