Research Methods- Mathematical content Flashcards
What percentage of participants spoke more words in the SpeedUpp condition than the water condition, given 6 out of 10 participants had higher word scores in SpeedUpp?
To calculate the percentage: (6 / 10) × 100 = 60%.
How do you convert a percentage to a decimal?
Remove the % sign and move the decimal point two places to the left. For example, 60% becomes 0.60 (or 0.6).
How do you convert a decimal to a fraction?
Count the number of decimal places. If there are two decimal places, divide by 100; if three, divide by 1,000. For example, 0.81 becomes 81/100, and 0.275 becomes 275/1000.
How do you simplify the fraction 275/1000?
Divide both parts by the highest common factor (25), resulting in 11/40.
What fraction represents 0.6, and how do you simplify it?
0.6 has one decimal place, so it becomes 6/10. Simplify by dividing both parts by 2, resulting in 3/5.
How do you express the number of participants who spoke more words in SpeedUpp (6) compared to the total participants (10) as a ratio?
The part-to-whole ratio is 6:10, which simplifies to 3:5.
How do you express the number of participants who spoke more words in SpeedUpp (6) compared to those who spoke more in water (4) as a ratio?
The part-to-part ratio is 6:4, which simplifies to 3:2.
How do you estimate the range of a data set where the highest number is 322 and the lowest is 57?
Subtract the lowest from the highest: 322 - 57 = 265. The estimated range is 265.
What is the symbol “=”, its name, meaning, and an example?
The symbol “=” is the equals sign, meaning equality. Example: 4 = 3 + 1.
How do you express the number of participants who spoke more words in SpeedUpp (6) compared to the total participants (10) as a ratio?
The part-to-whole ratio is 6:10, which simplifies to 3:5.
How do you express the number of participants who spoke more words in SpeedUpp (6) compared to those who spoke more in water (4) as a ratio?
The part-to-part ratio is 6:4, which simplifies to 3:2.
How do you estimate the range of a data set where the highest number is 322 and the lowest is 57?
Subtract the lowest from the highest: 322 - 57 = 265. The estimated range is 265.
What is the symbol “=”, its name, meaning, and an example?
The symbol “=” is the equals sign, meaning equality. Example: 4 = 3 + 1.
What is the symbol “>”, its name, meaning, and an example?
The symbol “>” represents strict inequality, meaning greater than. Example: 3 > 2.
What is the symbol “<”, its name, meaning, and an example?
The symbol “<” represents strict inequality, meaning less than. Example: 2 < 3.
What is the symbol “»”, its name, meaning, and an example?
The symbol “»” represents inequality, meaning much greater than. Example: 3000»_space; 0.02.
What is the symbol “«”, its name, meaning, and an example?
The symbol “«” represents inequality, meaning much less than. Example: 0.02 «_space;3000.
What is the symbol “∝”, its name, meaning, and an example?
The symbol “∝” means proportional to. Example: f(x) ∝ g(x).
What is the symbol “≈”, its name, meaning, and an example?
The symbol “≈” means approximately equal, representing weak approximation. Example: 11 ≈ 10.
