Question

2.3: tomato plants: box plot
a box plot can also be used to represent the distribution of numerical data.

minimum	q1	median	q3	maximum

1. using the same data as in the previous activity for tomato plants, find the median, and add it to the table. what does the median represent for these data?

it represents the middle - value of the data set for the tomato plants, such that half of the data values are less than or equal to 70 and half are greater than or equal to 70.

1. find the median of the least 15 values to split the data into the first and second quarters. this value is called the first quartile. add this value to the table under q1. what does this value mean in this situation?

Explanation:

Step1: Identify the median meaning

The median is the middle - value of an ordered data set. For the tomato plants data, since it's already given as 70, half of the data values are less than or equal to 70 and half are greater than or equal to 70.

Step2: First - quartile meaning

The first quartile (Q1) is the median of the lower half of the data. Given Q1 = 62, it means that 25% of the data values for the tomato plants are less than or equal to 62 and 75% are greater than or equal to 62.

Answer:

1. The median is 70. It represents the middle - value of the data set for the tomato plants such that half of the data values are less than or equal to 70 and half are greater than or equal to 70.
2. The first quartile Q1 is 62. It means that 25% of the data values for the tomato plants are less than or equal to 62 and 75% are greater than or equal to 62.