Normal DistributionThe following table shows the temperature at noon on February 21, 2018 in 5 different Canadian cities. Calculate the z-score for each temperature measurement, and find which city was experiencing the most "exceptional" (out-of-ordinary) temperature on that day.CityTemp. on February 21Average Temp. in FebruaryStd. Deviationz-scoreMontreal3.4-7.72.7 Toronto3.2-4.52.3 Vancouver-3.34.91.5 Regina-27-11.74.2 Halifax5.4-5.22 The city with the most "exceptional" (out-of-ordinary) temperature on that day is choose:-Montreal-Toronto-Vancouver-Regina-Halifax

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City Temp. on February 21 Average Temp. in February Std. Deviation z-score Montreal 3.4 -7.7 2.7 Toronto 3.2 -4.5 2.3 Vancouver -3.3 4.9 1.5 Regina -27 -11.7 4.2 Halifax 5.4 -5.2 2 The city with the most "exceptional" (out-of-ordinary) temperature on that day is choose: -Montreal -Toronto -Vancouver -Regina -Halifax

City Temp. on February 21 Average Temp. in February Std. Deviation z-score Montreal 3.4 -7.7 2.7 Toronto 3.2 -4.5 2.3 Vancouver -3.3 4.9 1.5 Regina -27 -11.7 4.2 Halifax 5.4 -5.2 2 The city with the most "exceptional" (out-of-ordinary) temperature on that day is choose: -Montreal -Toronto -Vancouver -Regina -Halifax

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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Question

Normal Distribution

The following table shows the temperature at noon on February 21, 2018 in 5 different Canadian cities. Calculate the z-score for each temperature measurement, and find which city was experiencing the most "exceptional" (out-of-ordinary) temperature on that day.

City	Temp. on February 21	Average Temp. in February	Std. Deviation	z-score
Montreal	3.4	-7.7	2.7
Toronto	3.2	-4.5	2.3
Vancouver	-3.3	4.9	1.5
Regina	-27	-11.7	4.2
Halifax	5.4	-5.2	2

The city with the most "exceptional" (out-of-ordinary) temperature on that day is choose:

-Montreal

-Toronto

-Vancouver

-Regina

-Halifax

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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