CSPA - Core Skills Profile for Adults Numeracy and Data Analysis Questions and Answers — Questions and Answers
Question 1: A community garden kept track of its vegetable yield (in kilograms) for five months. The yields were: May: 25 kg, June: 40 kg, July: 55 kg, August: 50 kg, September: 30 kg. What was the average monthly yield for this period?
- 35 kg
- 40 kg (Correct answer)
- 45 kg
- 55 kg
Correct answer: 40 kg
To find the average, you sum the total yield and divide by the number of months. Total yield = 25 + 40 + 55 + 50 + 30 = 200 kg. The number of months is 5. Average yield = 200 kg / 5 months = 40 kg per month.
Question 2: A local council surveyed 500 residents about a new park proposal. The results showed that 65% of residents were in favor. How many residents were NOT in favor of the new park?
- 325
- 250
- 175 (Correct answer)
- 35
Correct answer: 175
First, determine the percentage of residents not in favor: 100% - 65% = 35%. Then, calculate this percentage of the total number of residents surveyed: 0.35 * 500 = 175. Therefore, 175 residents were not in favor of the proposal.
Question 3: The chart below shows the weekly sales of four different types of bread at a bakery. Which of the following statements is best supported by the data in the chart? (Image of a bar chart showing Sourdough: 150 loaves, Whole Wheat: 200 loaves, White: 125 loaves, Rye: 75 loaves)
- Rye bread is the least popular choice among customers. (Correct answer)
- Sales of Sourdough and White bread combined are equal to Whole Wheat sales.
- The bakery sold more than 600 loaves of bread in total.
- Whole Wheat bread is twice as popular as White bread.
Correct answer: Rye bread is the least popular choice among customers.
According to the chart, Rye bread has the lowest sales number (75 loaves) compared to Sourdough (150), Whole Wheat (200), and White (125). This indicates it is the least popular choice. The other statements are incorrect: Sourdough + White = 150 + 125 = 275 (not 200); Total sales = 150+200+125+75 = 550 (not over 600); Whole Wheat (200) is not twice White (125).
Question 4: An apprentice earns a wage of $24.50 per hour. If they work 38 hours a week and have weekly deductions of $120 for taxes and other fees, what is their take-home pay for the week?
- $931.00
- $1051.00
- $811.00 (Correct answer)
- $120.00
Correct answer: $811.00
First, calculate the gross weekly pay by multiplying the hourly wage by the hours worked: $24.50 * 38 = $931.00. Then, subtract the weekly deductions to find the take-home pay: $931.00 - $120.00 = $811.00.
Question 5: A report states that the ratio of full-time to part-time employees at a company is 5:3. If the company has a total of 240 employees, how many are full-time?
- 90
- 150 (Correct answer)
- 120
- 80
Correct answer: 150
The ratio 5:3 means there are 5+3=8 parts in total. To find the value of one part, divide the total number of employees by the total number of parts: 240 / 8 = 30. Since the ratio for full-time employees is 5, multiply the value of one part by 5: 30 * 5 = 150. There are 150 full-time employees.
Question 6: Which of the following is the most appropriate type of graph to show the proportion of a company's budget allocated to different departments (e.g., Marketing, Sales, HR, IT)?
- Line graph
- Scatter plot
- Histogram
- Pie chart (Correct answer)
Correct answer: Pie chart
A pie chart is the most suitable for showing proportions or percentages of a whole. It visually represents each department's share of the total budget as a 'slice' of the pie, making it easy to compare the relative sizes of each category.
CSPA - Core Skills Profile for Adults Numeracy and Data Analysis Questions and Answers
A community garden kept track of its vegetable yield (in kilograms) for five months.
The yields were: May: 25 kg, June: 40 kg, July: 55 kg, August: 50 kg, September: 30 kg.
What was the average monthly yield for this period?