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Zorluk: OrtaCalculating with Data

Biochemists measured the rate of glucose consumption (in mM/min\text{mM/min}) by a newly isolated bacterial strain across 3 temperature treatments (25C25^\circ\text{C}, 35C35^\circ\text{C}, and 45C45^\circ\text{C}). Each temperature condition was evaluated in 3 separate trials. The results are recorded in the table below:

Temperature (C^\circ\text{C})Trial 1 (mM/min\text{mM/min})Trial 2 (mM/min\text{mM/min})Trial 3 (mM/min\text{mM/min})
25251.21.21.51.51.81.8
35354.04.04.64.64.64.6
45452.12.12.52.52.02.0

Based on the data provided, what is the average rate of glucose consumption, in mM/min\text{mM/min}, for the 35C35^\circ\text{C} treatment across the 3 trials?

Cevap: 4.4 mM/min

Cevap

The average rate of glucose consumption at 35C35^\circ\text{C} across the 3 trials is 4.4 mM/min4.4\text{ mM/min}.
To find the average glucose consumption rate at 35C35^\circ\text{C}, locate the row for 35C35^\circ\text{C} in the table and sum the values across the 3 trials (4.0+4.6+4.6=13.2 mM/min4.0 + 4.6 + 4.6 = 13.2\text{ mM/min}). Then divide by the number of trials (33) to get 13.23=4.4 mM/min\frac{13.2}{3} = 4.4\text{ mM/min}.

Adım Adım Çözüm

1
Extract data points for the 35C35^\circ\text{C} row
Trial 1 = 4.0 mM/min4.0\text{ mM/min}, Trial 2 = 4.6 mM/min4.6\text{ mM/min}, Trial 3 = 4.6 mM/min4.6\text{ mM/min}
The question specifically asks for the average at 35C35^\circ\text{C}.
2
Calculate the sum of the trial values
4.0+4.6+4.6=13.2 mM/min4.0 + 4.6 + 4.6 = 13.2\text{ mM/min}
Calculating an average requires finding the total sum of all trial measurements first.
3
Divide the sum by the total number of trials
13.23=4.4 mM/min\frac{13.2}{3} = 4.4\text{ mM/min}
Dividing the sum by 33 calculates the arithmetic mean across the 3 trials.

Anahtar Kavram

Calculating the average (mean) of data values from a table
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