Question

You have conducted an experiment to measure two values x and y, and have obtained the following data.

x values: mean=4.8, SD=0.36, number of data points: 36

y values: mean=6.6, SD=0.28, number of data points: 49
(a) Calculate the extremities of the error bars in x and y.

Answer 1

To calculate the extremities of the error bars in x and y, use the formula: extremity = mean +/- (z-score * SD). For x values with mean=4.8, SD=0.36, and y values with mean=6.6, SD=0.28, calculate the extremities by multiplying the SD with the z-score.

Step-by-step explanation:

The error bar represents the estimated uncertainty or variability in the data. To calculate the extremities of the error bars, we use the formula:

extremity = mean +/- (z-score * SD)

For the x values, with a mean of 4.8 and SD of 0.36, we calculate the extremities of the error bars by multiplying 0.36 with the z-score. For example, if the z-score is 1, the extremities would be:

extremity = 4.8 +/- (1 * 0.36) = 4.44 and 5.16

Similarly, we can calculate the extremities of the error bars for the y values, using the mean of 6.6 and SD of 0.28.

extremity = 6.6 +/- (z-score * 0.28)