Gaokao Exam Mathematics: Probability and Statistics 3

Question 1

A student scores 75, 82, 90, 68, and 85 on five tests. What is the range of scores?

Accepted Answer

22

Answer

Range = maximum − minimum = 90 − 68 = 22.

Question 2

In a stem-and-leaf plot, which part represents the last digit of each data value?

Accepted Answer

Leaf

Answer

In a stem-and-leaf plot, leaves represent the trailing digits while stems represent the leading digits.

Question 3

A survey of 200 students found 120 prefer math over English. What is the relative frequency of students who prefer math?

Accepted Answer

0.6

Answer

Relative frequency = 120/200 = 0.6.

Question 4

Which graph is most appropriate for displaying the distribution of a continuous variable such as exam scores?

Accepted Answer

Histogram

Answer

Histograms group continuous data into intervals (bins) and display frequency distributions effectively.

Question 5

If the standard deviation of a dataset is 0, what does this imply about the data?

Accepted Answer

All values are identical

Answer

A standard deviation of 0 means every data point equals the mean, so all values are identical.

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