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Zorluk: OrtaCalculating with Data

A team of oceanographers monitored sea surface temperatures (SST, in C{}^\circ\text{C}) at three distinct coral reef monitoring stations (S1S_1, S2S_2, and S3S_3) during a 4-month summer observation period.

Table 1:
StationJune SST (C{}^\circ\text{C})July SST (C{}^\circ\text{C})August SST (C{}^\circ\text{C})September SST (C{}^\circ\text{C})
S1S_127.528.529.528.5
S2S_228.029.030.031.0
S3S_326.527.028.528.0

Based on Table 1, what is the difference between the average 4-month SST at Station S2S_2 and the average 4-month SST at Station S3S_3?

  1. 2.0C2.0{}^\circ\text{C}Cevap
  2. B
    1.5C1.5{}^\circ\text{C}
  3. C
    1.0C1.0{}^\circ\text{C}
  4. D
    3.0C3.0{}^\circ\text{C}

Cevap

2.0C2.0{}^\circ\text{C}
To find the difference between the 4-month average SSTs at Station S₂ and Station S₃, first sum and average the monthly temperatures for each station. For Station S₂, the sum is 28.0 + 29.0 + 30.0 + 31.0 = 118.0 °C, and the average is 118.0 / 4 = 29.5 °C. For Station S₃, the sum is 26.5 + 27.0 + 28.5 + 28.0 = 110.0 °C, and the average is 110.0 / 4 = 27.5 °C. The difference between these two averages is 29.5 °C - 27.5 °C = 2.0 °C.

Adım Adım Çözüm

1
Calculate the 4-month average SST for Station S2S_2.
Sum = 28.0+29.0+30.0+31.0=118.0C28.0 + 29.0 + 30.0 + 31.0 = 118.0{}^\circ\text{C}. Average = 118.0/4=29.5C118.0 / 4 = 29.5{}^\circ\text{C}.
Finding the mean value requires summing all four monthly measurements for Station S2S_2 and dividing by 4.
2
Calculate the 4-month average SST for Station S3S_3.
Sum = 26.5+27.0+28.5+28.0=110.0C26.5 + 27.0 + 28.5 + 28.0 = 110.0{}^\circ\text{C}. Average = 110.0/4=27.5C110.0 / 4 = 27.5{}^\circ\text{C}.
Finding the mean value requires summing all four monthly measurements for Station S3S_3 and dividing by 4.
3
Subtract the average SST of Station S3S_3 from the average SST of Station S2S_2.
29.5C27.5C=2.0C29.5{}^\circ\text{C} - 27.5{}^\circ\text{C} = 2.0{}^\circ\text{C}.
Determining the difference between the two calculated averages.

Anahtar Kavram

Calculating average values across multiple data points in a table and finding their numerical difference.
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