Aggregate Responses To Three Questions

1. Grades for ten students are: 88, 90, 83, 97, 73, 88, 83, 59, 73 and79. Determine the following:a. Measures of central tendency: mean, median, and mode (2 points each)b. Measures of dispersion: range, top 20th percentile, and standarddeviation (2 points each)c. Should any scores be omitted in computing the above statistics, andif so, why? (2 points)Xa)MeanMedianModeb)Range20th PercentileStandard deviationc)Yes, we can omit 59 from the data so that the variation gets reduces from the dataThis is because all other data points lies in the range of 70 to 1002. Aggregate responses to three questions were obtained from a surveyIn the following table, indicate the type of scale (nominal, ordinal,interval, ratio), measure(s)of central tendency (mean, median, mode) and dispersion (range,percentiles, standarddeviation) appropriate for each question. [Note: No calculations arerequired] (5 points each)of 100 males and 100 females who were randomly selected and viewed three films (A, B and C) as shown below.SDNCodeABCSatisfaction levelViolence ratingsFilm preference rankings-- The type of scale for this variable is ratio-- The type of scale is ordinal in nature25th Percentile75th PercentileVoting RatingsFilm Preference Rankings3. Determine the probability of a normally-distributed data pointbeing in the ranges indicated inthe following two cases:a. Between z = 1.45 and z =