The data below represents age category, gender, and machine usage for 50 persons observed using an automated teller machine (ATM). Age category and gender are nominal scale (category) variables, and time is a quantitative variable measured in seconds. The coding for the age and gender categories follows: Age-Cat 5 1 for age 30, 2 for age 30-60, 3 for age 60; Gender 5 1 for male, 2 for female. Age-Cat Gender Seconds Age-Cat Gender Seconds Age-Cat Gender Seconds 50. 46.4 33.2 53.0 31.0 29.1 43.2 NNNN 44.8 37.7 -NN-N 34.9 30.3 54.9 37.5 33.6 NI NI 29.4 37.8 3 N 56.3 1 37.1 49.4 37.8 42.9 50.5 NI 34.4 44.3 48.1 N 32.9 45.0 27.6 26.3 -NENNNN 47.6 N W H H W N WA WA WNWE 55.6 30.8 58.1 -NNW 50.8 24.1 32.0 43.6 43.6 36.9 35.4 29.9 27.5 37.7 WNN 26.3 42.3 14.7 47. 34.1 39.5 40.1 1| Page Required: (a) Draw a frequency table containing mid-points, frequencies and cumulative frequencies to represent the given data (use inclusive form of grouping) (b) Find the mean usage time (in seconds) by age and gender. (c) Obtain the Interquartile range for the usage time (d) Compute the variance and standard deviation of the usage time (e) Find the semi-interquartile range for the given data. (f) Compute the moment-coefficient of kurtosis and Karl Pearson's coefficient of skewness and interpret your results.frequency table is as follows classes Tally frequency cumulative Mid - Point frequency 24.1 - 29.1 171 1 6 6 26 .6 29.2 - 34.2 41 1 10 6+10 = 16 31.7 34- 3 - 39-3 It HMT 10 16+ 10 = 26 36. 8 39. 4 - 44.4 17 111 26 + 8 = 34 41 . 9 114.5- 49.5 J Ill 34 +8 = 42 47 . 0 49.6-54.6 1011 4 42+ 4 = 46 52. 1 54. 7- 59.7 1111 4 46+4 = 50 57 - 2 N = 50