Question

Question 10 Find the 5 number summary for the data shown 6 7 815 28 39 4046 49 53 6065 71 76 5 number summary: Use the Locator/Percentile method described in your book, not your calculator. Check Answer

Answer 1

Given data 6 8 7 15 40 49 60 39 46. 53 65 76 71 writing in ascending order 6, 7, 8, 15, 28, 39 40, 46, 49, 60, 65, 71,76. 53 + 5 Number Summary inclides - Minimum 6 DU Lower quartil = Q = 15 Me diana Q₂ = 43 upper quartie = Q3 = 60 Maximum = 76 To find_minimum, we get to relie lowest value or firet valeu of data = 6 1/3

☺ Finding Median_Qs number of data in 14, which le Since the N=14 theis median It meanvalue of element at N/2 and 1/2+1 Element at 1/2 = 14/2 = 7 position = 40 Element at 1/2+1 = 12 + 1 = 8 position id=46 Mean of 40 and 46 de 40-746 4-3 13(SNE 531.? Finding a lower quarttle of Let L be the locator = 0.25n. n = no. of element 14 L-0.25 x14 = 3.5 Lledecimal vadie Randing it to L4 H pod fun 4th ponition Q = data valuu at 4th Porition Q = 15 2/3

© finding upper quartile de het L be the locator = 0.75(n) Is no of Element = 14 L= 0.75 (n) = 0.77 X14 10-5 Le decimal valus Rounding it to ith = 1 portion position Q3 = data value at 11th porition 60 (5) Anding maximum value, it is the highet value or last value of the given ascending onder data =76 summaônging 5 Number Summary 60 16 115 43 76 This so the required anawer. 3/3