NJSLA Data Analysis and Statistics Flashcards

A data set has values: 4, 4, 6, 8, 10, 10, 14. What is the mode?

Answer: 4 and 10

Both 4 and 10 appear twice, making this a bimodal data set with modes of 4 and 10.

A probability experiment involves rolling a fair six-sided die. What is the probability of rolling a number greater than 4?

Answer: 1/3

Numbers greater than 4 on a die are 5 and 6, giving 2 favorable outcomes out of 6 total, which simplifies to 1/3.

A line graph shows sales rising from January to June and falling from June to December. What does the peak in June represent?

Answer: The maximum sales for the year

The highest point on the line graph in June represents the maximum (peak) value of sales during that year.

In a class of 30 students, 18 play sports. What is the ratio of students who play sports to those who do not?

Answer: 3:2

18 play sports and 12 do not; the ratio 18:12 simplifies to 3:2.

Which statistic describes how spread out the values in a data set are from the mean?

Answer: Standard deviation

Standard deviation measures the average distance of each data point from the mean, quantifying how spread out the data is.

A two-way frequency table shows data for 100 students categorized by grade level and sport preference. How is a joint frequency different from a marginal frequency?

Answer: A joint frequency counts a specific combination of two categories, while a marginal frequency totals one entire row or column.

Joint frequencies appear in the interior cells and represent two-category intersections, while marginal frequencies are the row or column totals.