Question

measures of center and variability
a shelter kept track of the number of dogs adopted each
day for three weeks. use the table to find the statistical
measures.
mean:
median:
mode:
range:

Explanation:

Step1: Calculate the mean

The mean is the total divided by the number of data points. There are \(3\times7 = 21\) data points. The total is \(132\). So, the mean is \(\frac{132}{21}\approx6.29\).

Step2: Find the median

The median is the middle value. Since there are \(21\) data points, the median is the \(11^{th}\) value. Counting through the ordered data (already ordered in the table), the \(11^{th}\) value is \(6\).

Step3: Determine the mode

The mode is the value that appears most frequently. The number \(7\) appears \(4\) times, \(8\) appears \(5\) times. So, the mode is \(8\).

Step4: Calculate the range

The range is the difference between the maximum and minimum values. The maximum is \(9\) and the minimum is \(3\). So, the range is \(9 - 3=6\).

Answer:

Mean: \(6.29\), Median: \(6\), Mode: \(8\), Range: \(6\)