Question

For the following tablet weight measurements: 204, 196, 202, 192, 205, 213, 206, 209, calculate:

• the mean, b) standard deviation, (c) variance, (d) coefficient of variation (%RSD), (e) range, and (f) median.

Answer 1

[192.0, 196.0, 202.0, 204.0, 205.0, 206.0, 209.0, 213.0]

a) Since we know that

Where n is the number of data points

Now

and n = 8

This implies that

b) Since we know that

c) Since we know that

d) Coefficient of variance can be computed by dividing the mean from the standard deviation.

CV = 0.0332=3.32%

e) Since we know that

The range is the difference between the largest and smallest values in a set of values.

This implies that

Range = 213.0-192.0

Range = 21.0

f) Since we know that

Median for a list of even number of data point is the mean of 2 middle most values if we sort the list in increasing order while for a list of odd number it is the middle most value if the list is sorted in increasing order.

Since our list have even number of data points, this implies that

Median = 204.5

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