Question

need help answering these questions please

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the amounts (dollars) it costs for marriage proposal packages at different sports venues. Are there any outliers? 49 60 60 65 65 65 75 95 100 115 150 150 225 0 234 250 250 275 325 350 375 375 375 375 2000 3000 a. Find the mean The mean is $ (Type an integer or a decimal rounded to two decimal places as needed.) b. Find the median The median is s (Type an integer or a decimal rounded to two decimal places as needed)

Answer 1

solution't let x = data set x = 115 100 49 60 60 65 65 95 65 75 325 275 150 150 225 2 3 4 250 250 2000 3000 350 375 375 375 BAS Mean - (A) = EX sx h=25 Ex = 49+60+60 +65 +65 +65 +75+95 + 100+ 115 + 150 +150+ 225+234 + 250+250 +275+325+350 +375 +375 +375 +375+2000 + 3000 Ex=9458 EX Mean (x) = 9425 25 = 378.32 Mean 378.32 ① Median (M) value of [ +7th obserniation value of [25+77th observation value of 13th obsematian - 225- Median 225 Mode (Z) the value 375 occups maximum number of times 4. Mode 375

6.5oh value Mid-range Maximum value = = 3000 Minimum value = 49 Maxi mum value + Minimum value Midrange 2 3000 tug 1524,5 2 Midrange 1524,5 Outlines outliners will be 7 x < (q, - 1.5 14K ) & outliners will be it x> (Q3 +1.5 IQR] th value of [ ] Q obsenation value of [ 25+17th Observation of obsenation 6th observation + 0.5[7th Observation - 6th observation] 65 +6.5[as-65] - 70 9 = 70 3(25+1) th 99 = (309.5!)" value of objaration

Qo = 19.5th value of observation = 19th Observation + 0.5 [20th - 19thy observation 350+ 0.5 * [375- 350] - 362.5 Q3 = 362.5 IQR 43-9, = 362.5-70 IQ R = 292.90 P, - 1.5IOR = 70 - 1.S¥ 292,50 Q3 +1, S IQK = 362.50 +1.5 *292.50 = dol. 25- - - 368,75 outcome x is an outliner if x <-368.75 or id x3 801.25 In this case, there are 2 outlines = 2000 & 3000 Coreet option The values $2000 e $3000 appear to be outliers.