Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. put the numbers in order from least to greatest. show your work! city a: {4, 3.5, 5, 5.5, 4, 2} city b: {5, 6, 3.5, 5.5, 4, 6} (a) what is the mean monthly rainfall amount for each city? (b) what is the mean absolute deviation (mad) for each city? round to the nearest tenth. (c) what is the median for each city?

Hi!

Put the numbers in order:

City A: {2, 3.5, 4, 4, 5, 5.5}

City B: {3.5, 4, 5, 5.5, 6, 6}

a)  

b)

c)

Step-by-step explanation:

a) The general definition of mean of a set X is:

mean = (x₁ + x₂ + x₃ + ... xₙ)/n

mean = (4+3.5+5+5.5+4+2)/6 = 4

mean = (5+6+3.5+5.5+4+6)/6 = 5

b) The general definition of mean absolute deviation of a set X is:

MAD = (|x₁-mean| + |x₂-mean| + |x₃-mean| + ... + |xₙ-mean|)/n

MAD = ( |4-4| + |3.5-4| + |5-4| + |5.5-4| + |4-4| + |2-4| )/6 = (0 + 0.5 + 1 + 1.5 + 0 + 2)/6 = 5/6 =0.8

MAD = ( |5-5| + |6-5| + |3.5-5| + |5.5-5| + |4-5| + |6-5| )/6 = (0 + 1 + 1.5 + 0.5 + 1 + 1)/6 = 5/6 = 0.8

c) The general definition of median depends on the quantity of elements in the set X and it represents the middlemost value of the set:

When the quantity is odd:

median= x₍ₙ₊₁₎/₂

When the quantity is even:

median= (xₙ/₂ + x ₙ₊₂/₂) /2

median = 2, 3.5, 4, 4, 5, 5.5 = (4 + 4) / 2 = 4

median = 3.5, 4, 5, 5.5, 6, 6 = (5 + 5.5) / 2 = 5.25

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step-by-step explanation: