The box plots represent daytime high temperatures during the month of April in two cities. 2 box plots. The number line goes from 20 to 70. For City A, the whiskers range from 30 to 63, and the box ranges from 50 to 60. A line divides the box at 55. For City B, the whiskers range from 40 to 70, and the box ranges from 43 to 55. A line divides the box at 53. Which of the following inferences can you make? Check all that apply. City A tends to be warmer than City B. City B tends to be warmer than City A. City A has more variable temperatures than City B. City B has more variable temperatures than City A. City A has the highest April temperature.

The correct options are;

City A tends to be warmer than City B

City A has more variable temperatures than city B

Step-by-step explanation:

For City A

The number line is from 20 to 70

The whiskers range = 30 to 63

The box range = Interquartile range = 50 to 60

Therefore;

Q₁ = 50

Q₃ = 60

The median = Q₂ = 55

For City B

The number line is from 20 to 70

The whiskers range = 40 to 70

The box range = Interquartile range = 43 to 55

Therefore;

Q₁ = 43

Q₃ = 55

The median = Q₂ = 53

Therefore;

The range of a box plot for City A is 63 - 30 = 33

The range of a box plot for City B is 70 - 40 = 30

The interquartile range for City A = 60 - 10 = 10

The interquartile range for City B = 55 - 43 = 12

The minimum temperature for City A = 30

The maximum temperature for City A = 63

The minimum temperature for City B = 40

The maximum temperature for City B = 70

Comparing the averages of the temperatures of each quartile, we have;

For City A

Total average temperature, T₁

T₁ = 0.25*40*30 + 0.25*52.5*30+0.25*57.5*30+0.25*61.5*30 = 1586.25

For City B

Total average temperature, T₂

T₂ = 0.25*41.5*30 + 0.25*48*30+0.25*54*30+0.25*62.5*30 = 1545

Hence, T₁ > T₂

Therefore, City A tends to be warmer than City B

Also

City A has more variable temperatures than city B as the range is larger and   25% of City B are between 40 and 43 and another 25% is between the temperatures of 53 and 55 and also 75% of City B are between 40 and 55 while 75% of City A are between 60 and 30.

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step-by-step explanation: