Data Management practice test #2
Name:______
1. Is the graph’s title accurate? Why or why not?
2. Is the graph below misleading? Why or why not?
3. Which is the worst central tendency to use to accurately represent the data: the mean, mode or the median? Why?
Staff / 1 / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10Salary / 15k / 18k / 16k / 14k / 15k / 15k / 12k / 17k / 90k / 95k
4. Does the modal frequency give an accurate picture of the data?
5. Find a set of positive integers that satisfy the following:
a) three numbers with mean 3 and mode 2
b) four numbers with mean 6, median 6.5 and range 11
c) five numbers with mean 7, mode 7 and range 10
Level 4 Questions
6. The team scored the following number of runs in their games this season:
6, 2, 5, 9, 11, 4, 5, 8,6,7,5
If they want to end the season with an average of 6 runs per game, how many runs must they score in their final game of the season?
7. The average wages of a worker during a fortnight comprising 15 consecutive working days was $90 per day. During the first 7 days, his average wages was $87 per day and the average wages during the last 7 days was $92 per day. What was his wage on the 8th day?
8. If the average of 5 positive integers is 40 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
9. An analysis of the monthly incentives received by 5 salesmen: The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference between the highest and the lowest incentive received by the 5 salesmen in the month?
10. Positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. What is the highest possible average of the medians of these 5 groups?