Question

You were just promoted by the mayor for getting her good information about lead levels in dogs. She has appointed you the new health officer of the city of Sarasota. Your first task is to check the results of a report that the previous health officer completed. The mayor thinks there might be some calculation errors in the data presented. You need to determine the mean, median, mode, range, standard deviation and variance of the following data. Please show work!

Legionnaires Cases/Month

5

1

5

7

10

9

7

11

7

10

9

15

Answer 1

Following table shows the calculations:

	X	(X-mean)^2
	1	49
	5	9
	5	9
	7	1
	7	1
	7	1
	9	1
	9	1
	10	4
	10	4
	11	9
	15	49
Total	96	138

There are 12 data values so median will be average of 6th and 7th data values. That is median is

Median = (7+9) /2 = 8

Mode: It is data value with highest frequency. So the mode is 7.