Question

PLS ANSWER THIS I WILL GIVE 80 BRAINLY POINTS
A middle school recorded the following donations received during its fundraiser for the school's band:

$26, $15, $28, $45, $49, $18, $26, $37

Part A: Describe the five-number summary of the data set and what each value represents in the context of the problem. (2 points)

Part B: Which of the box plots shown represents the data set from Part A? Explain why you chose it. (2 points)

Answer 1

Answer:The five-number summary of the donations data set would be: $15, $22, $27, $41, and $49, which represents the minimum, first quartile, median, third quartile, and maximum, respectively. Without actual box plots provided, we can't specifically identify which one represents this dataset. However, a correct plot would mirror these figures.

Step-by-step explanation:The question involves a topic in statistics, specifically around five-number summaries and box plots. In the context of the problem:Minimum: The smallest donation, which is $15.First Quartile (Q1): Represents the 25th percentile of the donations. If we arrange the data in ascending order ($15, $18, $26, $26, $28, $37, $45, $49), it will be the average of the second and third numbers which gives $22.Median (Q2): The middle value when the data is arranged in ascending order. This is the average of fourth and fifth numbers, which gives us $27.Third Quartile (Q3): Represents the 75th percentile of the donations. This is the average of the sixth and seventh donations, resulting in $41.Maximum: The largest donation, which is $49.Part B of the question is related to interpreting box plots. Since no plots are provided, we can't determine which one would best represent the dataset. A correct plot would have the five values: $15, $22, $27, $41, and $49 marked accordingly representing minimum, Q1, median, Q3, and maximum respectively.