Soonju picked 300 apples from an orchard. Each apple was weighed in grams.The box-and-whisker plot below shows the weights of these apples.(i)What is the range?1.............................................................................................................................................................................(ii)Determine the median weight.1.............................................................................................................................................................................(iii)What is the weight of the smallest apple?1.............................................................................................................................................................................(iv)How many apples from those picked weighed less than 42 g?1.............................................................................................................................................................................Question 22 continues on the next page

To answer these questions, I'll explain how to extract the necessary information from a box-and-whisker plot.

### (i) What is the range?
The range is the difference between the maximum and minimum values shown in the box-and-whisker plot. The plot should show these as the ends of the "whiskers" or lines extending from the box.

### (ii) Determine the median weight.
The median is the middle value of the dataset, which is shown by the line inside the box in a box-and-whisker plot.

### (iii) What is the weight of the smallest apple?
The weight of the smallest apple is represented by the minimum value, which is the leftmost point (or the left whisker end) on the box-and-whisker plot.

### (iv) How many apples from those picked weighed less than 42 g?
To answer this, you need to locate the 42 g mark on the box-and-whisker plot and see where it falls relative to the quartiles. The number of apples can be estimated based on the quartile divisions if that information is present.

If you can provide the exact values from the box-and-whisker plot (like the minimum, maximum, median, and quartile positions), I can give you precise answers. 

Would you like to upload the image or provide those values?

### Example questions to further your understanding:
1. How is the interquartile range (IQR) calculated from a box-and-whisker plot?
2. What does the length of the box in the plot represent?
3. How can you determine if there are any outliers in the data from the box-and-whisker plot?
4. What are quartiles, and how do they relate to the box-and-whisker plot?
5. How would the box-and-whisker plot change if a very large apple was added to the data?

**Tip:** In statistics, the range gives you an idea of how spread out the data is, but it can be affected by extreme values (outliers). The interquartile range (IQR) is often used for a more reliable measure of spread.

Learn how to analyze apple weights using a box-and-whisker plot with detailed step-by-step explanations. Find out the range, median weight, smallest apple weight, and number of apples under 42g. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation