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: Calculate the number of data - points

There are \(6\times5 = 30\) data - points.

Step2: Calculate the mean

The sum of all data - points is \(862\). Mean\(=\frac{862}{30}\approx28.73\). But if we sum the individual values in the table: \(7 + 16+28+\cdots+43=862\), and mean\(=\frac{862}{30}\approx28.73\).

Step3: Find the median

Arrange the data in ascending order. Since \(n = 30\) (an even number), the median is the average of the \(\frac{n}{2}=15\)th and \((\frac{n}{2}+ 1)=16\)th ordered values. After arranging the data, the 15th value is \(30\) and the 16th value is \(30\), so median\(=\frac{30 + 30}{2}=30\).

Step4: Find the mode

The mode is the number that appears most frequently. The number \(42\) appears \(6\) times, more frequently than any other number, so the mode is \(42\).

Step5: Find the range

The range is the difference between the maximum and minimum values. The maximum value is \(43\) and the minimum value is \(7\), so range\(=43 - 7=36\).

Answer:

Mean: \(28.73\)
Median: \(30\)
Mode: \(42\)
Range: \(36\)