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Consider the following data on the length of eggs (mm) of two breeds of cuckoo $22.5$ $20.1$ $23.3$ $22.9$ $22.0$ $23.1$ $22.0$ $22.3$ $23.6$ $24.7$ $20.1$$0$ $20.1$$1$ $20.1$$2$ $20.1$$3$ $20.1$$4$ $20.1$$5$ $20.1$$6$ $20.1$ $20.1$$8$ $20.1$$8$ $22.5$ $22.3$ $20.1$$8$ $22.0$ $20.1$$5$ $23.3$ $23.3$$6$ $22.3$ $23.3$$8$ $20.1$$0$ $22.0$ $22.9$$1$ $23.3$$6$ $22.9$$3$ $22.9$$4$ $23.3$ $20.1$$1$ $23.6$ $22.9$$8$ $22.9$ a. Use a class interval of size $22.0$$0$, construct a grouped frequency distribution. b. Find first and third Quartile of the distribution c. Obtain the mean and standard deviation d. Show whether second quartile is same as the median of the distribution and comment on your result.