Data Analysis & Statistics Flashcards

A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean (average) score?

Answer: 82

The mean is calculated by adding all scores (72+85+90+68+95=410) and dividing by the count (410÷5=82).

What is the median of the following data set: 3, 7, 1, 9, 4, 6, 2?

Answer: 4

After ordering the values (1, 2, 3, 4, 6, 7, 9), the median is the middle value, which is 4.

In a data set of 8 values, what is the position of the median?

Answer: Between the 4th and 5th values

When a data set has an even number of values, the median is the average of the two middle values — here the 4th and 5th.

The mode of the data set 5, 8, 3, 5, 9, 2, 5, 8 is:

Answer: 5

The mode is the value that appears most often; 5 appears three times, more than any other value.

A bar graph shows monthly rainfall. January had 3 inches, February had 5 inches, and March had 4 inches. What was the total rainfall for these three months?

Answer: 12 inches

Adding the three months: 3 + 5 + 4 = 12 inches total rainfall.

What does the range of a data set measure?

Answer: The spread between the highest and lowest values

Range = maximum value − minimum value, so it measures how spread out the data is.

A pie chart shows that 40% of students prefer math, 35% prefer English, and the rest prefer science. What percentage prefers science?

Answer: 25%

All percentages must sum to 100%, so science = 100% − 40% − 35% = 25%.