Question

My Notes Ask Your Teacher 2. -/5 points ASWSBE14 3..048. Show the five number summary for the following data: 5, 15, 18, 9, 9, 11, 15, 10, 5. first quartie median third quartile maximum Show the boxplot for the data. OD 1 o g 10 12 14 16 185 7 11 13 15 17 19 21 230 o b 11 13 15 17 19 21 23 00 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Need Help? Read It Talk to Tutor hahanur Pr Om *

Answer 1

dala. Q. show the tive-number summary for the following Ans? Given dala is: 5, 15, 18, 9, 9, 11, 15, 10, 5. First, we write the data in increasing order h i er 5, 5, 9, 9, 10, 11, 15, 16, 18 least * The minimum value of a data is the value in seti.c. 15 Pa The Maximum value of a data is the value in set i.e., [18] greatest # calculation of median Median of a data set is the number that, when the set is put into increasing order, divides the data into two earcual parts It the data set has on odd number of data pointe, then the median is the middle dala value. If the data set has an even number of data points, then the median is the mean of the two middle data Valuls. re e n Median = 10 5 5, 5, 9, 9, 5 . 9, 9, 10, 10, 11, 15, 15, 18 Middle data value

* first Quartile (Q) first Quartile i the median of the lower halt lower half of a data set is the set of all values that are left of the median value when the data hou been put into increasing order. 5, 5, 9, 9, 10, 11, 15, 15, 18. lower Median upper half Halt first Quartile (Q.) & Median of 25, 5, 9,97 * Since there is an even number of values, we need to calculate the mean of the middle two values re, 579, 7 first Quartile (Q.) = 7 * Third Quartie (03) Third Quartile is the median of the upper hatt third Quartile (Q3) & Median of $11, 15, 16, 18? Since there is an even number of valeue, we need to calculate the mean of the middle two valus 15+15 30 15 e 2 Quartile Third (@3) = 15

Box plot for the data. 7 Minimum value - first Quartile – Median Third Quartill - Maximum – II 1 1 1 im HI H 13 14 15 16 17 18 12 5 6 7 8 9 10 11 MAY a Median Value Min Valice