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flexibility is measured by the range of motion and the range of motion and the range of movements is measured by using a goniometer.....
The range depends only on the two extreme values. It does not distinguish between the cases where the remaining values are all clustered around the middle, or all are at either extreme or are evenly spread out between the extremes, or distributed according to some other pattern.
A protractor is a tool that may be used to measure an angle. The measure of the angle exists irrespective of the tool that is used to measure it. In the same way that you have a height and your height is a [mainly] fixed amount and whether it is measured with a rule or a tape measure or a laser range finder does not affect your height!
A beaker is used to measure volume using water displacement.
By using a protractor or using trigonometry