Using the concept of standard deviation, it is found that the standard deviation of the data-set will remain the same.
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The mean of a data-set is given by the <u>sum of it's observations, divided by the number of observations</u>.
The standard deviation is given by the <u>square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values</u>.
If all observations are increased by a value x, the mean will also increase by x.
In the standard deviation, at the sum of the differences squared of each observation and the mean, each observation is increased by x, as is the mean, thus, the sum stays the same, while the standard deviation also stays the same.
Let the planned number of parts per hour = x <span> Then the planned number of parts for the day = 8x </span><span> By finishing 4 more parts in an hour than was planned (x + 4) he fulfilled his daily task in 6 hours. </span><span> So he finished 6(x + 4) parts that day. </span><span> 6(x + 4) = 8x </span><span> 6x + 24 = 8x </span><span> 2x = 24 </span><span> x = 12 </span>
Hi! So to turn it into a radian measure, you have to do 10 times pi / 180 that would bring you to 10pi / 180 simplify pi / 18 is your answer Hope this helps!