Consider the following sample of exam scores, arranged in increasing order. DO IT BY HAND AND SHOW WORK. NO WORK NO CREDIT. MAKE SURE YOU USE THE FORMULAS IN CLASS NOTES TO FIND LOCATION FOR PERCENTILES/QUARTILES. THE TEXTBOOK USES A DIFFERENT APPROACH AND RESULTS WILL BE DIFFERENT! 28 57 5864 6974 79 80 83 85 8587 87 8989 90 92 93 949495 96 96 97 9797 97 98 100 100 (Hint: the sample mean of these exam scores is 85) Determine the interquartile range (IQR) Obtain the five number summary ldentify potential outliers if any Construct and interpret a boxplot or if appropriate, a modified boxplot. C. 4 Using the data in question 3 above, use Excel to Determine the frequency distribution of exam scores. Use cutpoint grouping with 25 as the first cutpoint and classes of equal width 5 Determine the relative frequency distribution of exam scores Find the following descriptive statistics of the exam scores using excel functions: Sample size (count), Mean, Variance, Standard Deviation, Minimum, Maximum, Range, Summation of observations in sample (sum), Mode, Median, Lower quartile-Q1, Middle quartile-Q2 (same as median), upper quartile-Q3 and Inter- quartile Range (IQR) Hand in an Excel printout answering each of the questions (a)-(c) above. No excel, no credit.