Question

students from grover middle school are recycling aluminum cans. the table shows the total number of cans brought in each school day for a period of six weeks. they collected a total of 862 cans. use the drop - down menus to define the terms. mean: median: mode: range:

Explanation:

Step1: Arrange data in ascending order

7, 8, 10, 11, 11, 14, 16, 17, 18, 18, 24, 25, 28, 29, 30, 30, 35, 37, 38, 40, 40, 41, 41, 41, 42, 42, 42, 42, 42, 43

Step2: Calculate the range

Range = Maximum - Minimum. Maximum = 43, Minimum = 7. So, Range = 43 - 7 = 36.

Step3: Find the mode

The mode is the number that appears most frequently. 42 appears 5 times, more frequently than any other number. So, Mode = 42.

Step4: Calculate the median

There are n = 30 data - points. Since n is even, the median is the average of the $\frac{n}{2}$th and ($\frac{n}{2}+1$)th ordered data - points. $\frac{n}{2}=15$ and $\frac{n}{2}+1 = 16$. The 15th value is 30 and the 16th value is 30. Median=$\frac{30 + 30}{2}=30$.

Step5: Calculate the mean

Mean=$\frac{\sum_{i = 1}^{n}x_{i}}{n}$. $\sum_{i = 1}^{30}x_{i}=862$, n = 30. Mean=$\frac{862}{30}\approx28.73$.

Answer:

Range: 36
Mode: 42
Median: 30
Mean: 28.73