Mathematics 10 Summative Test

What is the definition of a quartile in statistics?

• a measure of central tendency

• a measure of position of a data

• an average value of the data set

• a measure of position that divides the data into four equal parts

What is the difference between the upper quartile (Q3) and lower quartile (Q1)?

• quantile

• fractile

• quartile

• interquartile range

Which measure of position divides a data set into the lower 30% of values and upper 70% of values?

• 𝑃30

• 𝑃70

• 𝐷30

• 𝐷70

If a dataset has 100 values, what would be the position of the first decile?

• 5th value in the ordered list

• 10th value in the ordered list

• 25th value in the ordered list

• 50th value in the ordered list

Which student performed better: I. The student who is at the 3rd quartile II. The student who is at the 7th decile III. The student who is at the 75th percentile

• I

• II

• III

• I and III

Jonathan's score in a 75-item test was the median score. What is his percentile rank?

• 35th

• 50th

• 75th

• 85th

If the first quartile (Q1) of a dataset is 25, what does this indicate about the data?

• All data points are above 25

• The median of the data points is 25

• 25% of the data points are below 25

• 50% of the data points are below 25

If a student scored in the 75th percentile on a test, what does this indicate about their performance relative to other students?

• Their score was exactly at the median

• They received an average score compared to their peers.

• They scored lower than 75% of the students who took the test.

• They scored higher than 75% of the students who took the test.

A researcher finds that in a survey, 15 out of 100 respondents reported feeling very satisfied with the service. What percentile rank does this represent for those who feel very satisfied?

• 15th percentile

• 25th percentile

• 75th percentile

• 85th percentile

If a student scores in the 4th decile on a standardized test, what does this indicate about his performance?

• His score is exactly average.

• He is in the top 10% of performers.

• He performed worse than 40% of test-takers.

• He performed better than 40% of test-takers.