Answer:
Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916
To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?
What reasons might venita give for saying that the 1916 coin is most likely in her bag?
Solution:
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
arranging in order
26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85
Median = (68 + 71)/2 = 69.5
Q1 = 61
Q3 = 74.5
IQR = 13.5
Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
arranging in order
44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Median = 63.5
Q1 = 53
Q3 = 71.5
IQR = 18.5
IQR of Venita is High
so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More
