The question is incomeplete, below is the completed question
The World Malaria Report (2008) has information on the number of reported malaria cases from 2005–2006 for the ten countries listed in West Africa. The data are presented in the table below:
1. The mean reported West African malaria cases in 2005 is a. less than 116,698. b. greater than 1,600,000. c. 100,000. d. greater than 200,000.
2. The median reported malaria cases in 2006 is a. around 1,000,000. b. less than 200,000. c. 100,000. d. 3,000,000.
3. If the number of reported malaria cases in Sierra Leone were mistyped and reported as 1,160,666, what would happen to the mean and median? a. Both would remain unchanged. b. The mean would change, but the median would stay the same. c. The mean and median would change. d. You cannot tell without doing the actual calculation.
The correct answers are:
1. greater than 200,000. Â (d)
2. around 1,000,000 (a)
3. The mean and median would change (c)
Step-by-step explanation:
using the data in the attachment to this
1.)The mean is a measure of ecntral tendency, calculated by summing the total of the values and dividing the result by the number of terms. From the data in the 2005 column, only one value is 116,698 and that value is (116,681), the rest of the 9 other values are greater than 116,698 hence option a (less than 116,698) is wrong.
b)Same reason holds for option b (greater than 1,600,000), only one value falls in this category, hence the mean cannot be more than 1,600,000.
c) since the lowest data in the dataset is 116,698, the mean cannot be 100,000, which is less than the lowest data in the dataset
d) The mean is greater than 200,000 because 8 out of 10 (80%) of the values are more than 200,000, hence this is the correct answer.
2) for the median of the 2006 data, let us arrange the values in ascending order:
160,000 266,188 566,450 861,847 1,022,592 1,105,272 1,253,408 1,555,310 2,060,867 3,511,452
For distribution with an even number of terms, the median = (sum of the two middle terms) ÷ 2
Two middle terms are 1,022,592, 1,105,272
Median = (1,022,592 + 1,105,272) ÷ 2
Median = 2127864 ÷ 2
Median = 1, 063, 932
Therefore median is around 1, 000, 000 (a)
3) mistyping the value for Sierra Leone as 1,160,666 instead of 160,666 for 2006, will increase the value by 1,000,000. Both the mean and the median will change, because the value 1,000,000 is a large number compared to the others on the list to cause a change.
