Question

Please also with explenations.

Problem 1. The following frequency distribution reports the electric- ity cost for a population of 50 two-bedroom appartments in a certain area of Albuquerque, New Mexico during the month of May Electricity cost Mid point Frequency 80 up to 100 100 up to 120 120 up to 140 140 up to 160 160 up to 180 180 up to 200 90 12 16 a) Give the general formula for the arithmetic mean of a data set without frequencies T1, . . . , Zn b) Give the general formula for the arithmetic mean of a data set a1,... , ak with absolute frequencies hi,..., hk c) Compute the mean for the example d) Give the general formula for the variance and the standard deviation of a data set xi,..., xn without frequencies e) Give the general formula for the variance and the standard deviation absolute frequencies hi,. . .,hk of a data set a1,..., ak f) Compute the variance and the standard deviation for the example g) Describe how to compute the three quartiles Q1, Q2, Qs for a data set zi,... , xn without frequencies h) Compute the quartiles for the example Hint: for each cost interval compute first the mid point and then use this number for your further computations

Answer 1