Question

independent practice
directions: use the box and whisker plot to answer each question. find your answer in one of the three answer boxes. find the problem number on the coloring page and color each section with the color that corresponds to your answer.
pumpkin weights (in lbs) box plot

1. the lowest 25% of the pumpkin weights falls between which two pumpkin weights?

10-15 blue | 10-25 light green | 15-25 light blue

1. what percent of the pumpkins weighed more than 15 lbs?

25% blue | 50% purple | 75% light blue

1. if 324 pumpkins were used at the festival this year, how many of those pumpkins weighed less than 15 lbs?

81 orange | 162 red | 243 yellow

1. identify the outlier present in the box plot?

20lbs black | 75 lbs gray | 95 lbs brown

1. more pumpkins weighed over 25lbs than under 25lbs.

true blue | false green | not enough information light blue

1. what percent of the pumpkins weighed between 15 and 45 lbs?

25% orange | 50% pink | 75% yellow

1. there were 600 pumpkins used at the pumpkin chunkin festival. jorge said that there were 150 pumpkins that weighed between 45 and 95 lbs. what do you think about his statement?

true yellow | false orange | not enough information red

1. what was the weight of the smallest pumpkin?

0 orange | 10 red | 15 pink

1. which has the greatest value?

range purple | interquartile range light blue | upper quartile blue

1. what do you think of the pumpkins weight?

very light black | a little heavy gray | super heavy brown

Explanation:

Question 1

Step1: Recall box - whisker plot quartiles

In a box - whisker plot, the data is divided into four quartiles, each representing 25% of the data. The lowest 25% (first quartile range) is between the minimum value and the first quartile (Q1). From the answer choices and the context of the box - whisker plot for pumpkin weights, the lowest 25% falls between 10 - 15 lbs.

Step1: Analyze the percentage of data above 15 lbs

In a box - whisker plot, if we consider the quartiles, the data above the first quartile (if 15 is the first quartile or a relevant point) - since the total data is 100%, and the lowest 25% is below 15 (from question 1), the percentage above 15 is \(100\% - 25\%=75\%\)

Step1: Determine the percentage of pumpkins less than 15 lbs

From question 2, we know that 25% of the pumpkins weigh less than 15 lbs.

Step2: Calculate the number of pumpkins

We have a total of 324 pumpkins. To find 25% of 324, we use the formula \(\text{Number}=\text{Total}\times\text{Percentage}\). So, \(324\times0.25 = 81\)

Answer:

10 - 15 (Blue)

Question 2