Question

The following are the interval times? (minutes) between eruptions of a geyser. Detemine the five number summary and construct a box plot from the data below.

83?84??85???87??89??90??91??92??94??97???97??98???99???104??106?109

The number 5 summary is?

Answer 1

Solution :

The five number summary is

Minimum: 83
Quartile Q1: 88
Median: 93
Quartile Q3: 98.5
Maximum: 109

Explanation :-

Given data 83 84 85 87 89 90 91 92 94 97 97 98 99 104 106 109

=> Minimum = 83

=> First quartile Q1 = 88

=> Q1 is the median in the lower half of the data = (87 + 89)/2 = 88

=> Median = 93
  
=> median is the middle number = (92 + 94)/2 = 93

=> Third quartile Q3 = 98.5

=> Q3 is the median in the upper half of data = (98 + 99)/2 = 98.5

=> Maximum = 109

=> The five number summary is 83 , 88 , 93 , 98.5 , 109