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:
number of dogs adopted
3 3 4 4 4 5 5
6 6 6 7 7 7 7
8 8 8 8 8 9 9
total 132

Explanation:

Step1: Calculate the number of data - points

There are 21 data - points (3 weeks with 7 days per week).

Step2: Calculate the mean

The sum of all data - points is 132. Mean = $\frac{132}{21}\approx6.29$.

Step3: Find the median

Arrange the data in ascending order. Since there are 21 data - points, the median is the 11th value. The ordered data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The median is 7.

Step4: Find the mode

The mode is the number that appears most frequently. 8 appears 5 times, more frequently than any other number, so the mode is 8.

Step5: Calculate the range

The range is the difference between the largest and smallest values. Largest value = 9, smallest value = 3. Range = 9 - 3=6.

Answer:

Mean: 6.29
Median: 7
Mode: 8
Range: 6