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Question
consider the california counties with population more than one million, as given in the following table.
county\tpopulation
alameda\t1,449,157
contra costa\t1,021,052
los angeles\t9,944,673
orange\t2,991,373
riverside\t1,948,079
sacramento\t1,372,729
san bernardino\t1,970,253
san diego\t2,936,649
santa clara\t1,701,992
what is the mean? (round your answer to the nearest whole number.)
______ people
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tech guide: excel tech guide: ti-83/84 tech guide: ti-nspire
Step1: Sum all populations
First, we add up all the population values:
\(1,449,157 + 1,021,052 + 9,944,673 + 2,991,373 + 1,948,079 + 1,372,729 + 1,970,253 + 2,936,649 + 1,701,992\)
Let's calculate step by step:
\(1,449,157 + 1,021,052 = 2,470,209\)
\(2,470,209 + 9,944,673 = 12,414,882\)
\(12,414,882 + 2,991,373 = 15,406,255\)
\(15,406,255 + 1,948,079 = 17,354,334\)
\(17,354,334 + 1,372,729 = 18,727,063\)
\(18,727,063 + 1,970,253 = 20,697,316\)
\(20,697,316 + 2,936,649 = 23,633,965\)
\(23,633,965 + 1,701,992 = 25,335,957\)
Step2: Count number of counties
There are 9 counties (Alameda, Contra Costa, Los Angeles, Orange, Riverside, Sacramento, San Bernardino, San Diego, Santa Clara).
Step3: Calculate the mean
The mean is the total sum divided by the number of counties:
\(\text{Mean} = \frac{25,335,957}{9}\)
Calculating this division:
\(25,335,957 \div 9 \approx 2,815,106.333...\)
Step4: Round to nearest whole number
Rounding \(2,815,106.333...\) to the nearest whole number gives \(2,815,106\).
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