The ages, in whole numbers of years, of a hotel’s 50 staff are given in the following table….

The
ages, in whole numbers of years, of a hotel’s 50 staff are given in the
following table. Calculated estimates of the mean and variance are 37.32 and
69.1176, respectively

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Exectly
1year after these calculations were made, Gudrun became the 51st staff member
and the mean age became exactly 38 years. Find Gudrun’s age on the day of her
recruitment, and determine what effect this had on the variance of the staff’s
ages. What assumptions must be made to justify your answers?