Complete question :
The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?
Answer:
B
Step-by-step explanation:
BOX plots provide information about :
Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.
Given the dataset :
24, 25, 29, 30, 31, 31, 32, 34, 34
Minimum value = 24 (Lowest value in the dataset)
First quartile (Q1) = 1/4(n+1)th term
Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27
Second quartile ; median (Q2) = 1/2(n+1)th term
Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31
Third quartile (Q3) = 3/4(n+1)th term
Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33
Maximum value = 34 (Highest value in the dataset)
First dot = minimum value
Last dot = maximum value
First line of box = QI
mid line = median
End line of box = Q3
