Question

4 from unit 1, lesson 4 the dot - plot shows the weight, in grams, of several different rocks. select all the terms that describe the shape of the distribution. a bell - shaped b symmetric c bimodal d skewed e uniform 5 from unit 1, lesson 3 the dot plot represents the distribution of wages earned during a one - week period by 12 college students. a. what is the mean? 118.25 interpret this value based on the situation. b. what is the median? the median is 118 interpret this value based on the situation. c. would a box plot of the same data have allowed you to find both the mean and the median?

Explanation:

Step1: Analyze distribution shape of rocks' weight

By observing the dot - plot of rocks' weight, there is no clear bell - shape, no symmetry, it's not bimodal or uniform, and it appears skewed. So for the rocks' weight distribution, the answer is C. skewed.

Step2: Calculate mean of students' wages

The mean of the wages of 12 college students is given as 118.25. It represents the average weekly wage of these 12 college students.

Step3: Determine median of students' wages

The median of the wages is 118. It is the middle value when the data is arranged in ascending or descending order. For a set of 12 data points (an even number of data points), the median is the average of the 6th and 7th ordered values.

Step4: Analyze box - plot for mean and median

A box - plot shows the median (the line inside the box), the first and third quartiles, and the minimum and maximum values. It does not directly show the mean. So, a box - plot of the same data would allow you to find the median but not the mean.

Answer:

For the rocks' weight distribution: C. skewed
For the students' wages mean: 118.25 represents the average weekly wage of 12 college students
For the students' wages median: 118 is the middle value of the ordered data set
For the box - plot question: No, a box - plot would allow you to find the median but not the mean.