Answer:
BOX plot B
Step-by-step explanation:
Given the data:
25 , 28 , 29 , 29 , 30 , 34 , 35 , 35 , 37 , 38
In other to know which box plot correctly summarizes the data, we have to obtain the 5 - number summary statistics for the data :
Minimum = 25 (least value in dataset)
Lower quartile, Q1 = 1/4(n+1)th term = 1/4(11)th term = 2.75 th term = 29
Median, Q2 = 1/2(n+1)th term = 1/2(11)th term = (30 + 34) / 2 = 32
Upper quartile, Q3 = 3/4(n+1)th term = 3/4(11)th term = 8.25 th term = 35
Maximum value = 38 (highest value in dataset).
Hence, boxplot B correctly summarizes the data.