Respuesta :
Answer:
Explanation:
Given the data set:
[tex]1,4,6,7,8,10,12,13,14,16,19,22,23,27,30,31,31,33,34,36,41,42,47[/tex]The data set contains 23 items where:
• The minimum number = 1
,• The maximum number = 47
Next, the median number (the number in the middle will be the 12th item):
[tex]1,4,6,7,8,10,12,13,14,16,19,\boxed{22},23,27,30,31,31,33,34,36,41,42,47[/tex]• The median = 22
The lower quartile will be the number in the middle of the first half.
[tex]1,4,6,7,8,\boxed{\textcolor{red}{10}},12,13,14,16,19,\boxed{22},23,27,30,31,31,33,34,36,41,42,47[/tex]• The lower quartile, Q1 = 10
Similarly, the upper quartile will be the number in the middle of the second half.
[tex]1,4,6,7,8,\boxed{\textcolor{red}{10}},12,13,14,16,19,\boxed{22},23,27,30,31,31,\boxed{\textcolor{red}{33}},34,36,41,42,47[/tex]• The upper quartile, Q3= 33
Therefore, the five-number summary is: 1,10,22,33,47 where
• Minimum: 1
,• Lower Quartile = 10
,• Median = 22
,• Upper Quartile = 33
,• Maximum = 47
