Grade 12 Math Statistics Quiz

Consider the following set of grades from a recent assessment: 10 ,5 ,3 ,9 ,6 ,8 ,4 ,7.5 ,2.5 Calculate the mean and median for this set of grades.

• Mean: 6.5, Median: 6

• Mean: 5.5, Median: 5

• Mean: 7, Median: 7.5

• Mean: 8, Median: 7

What are the advantages of using a 'trimmed mean' for calculating a student's final grade?

• It allows for a more accurate representation of overall performance by minimizing the impact of extreme scores.

• It guarantees that the student will receive a higher grade than if a regular mean were used.

• It focuses solely on the student's best performances without considering all assessments.

• It simplifies the grading process by eliminating the need for detailed score analysis.

Choose the letter that best completes the statement below. Outliers are removed from a data set before calculating the measure of central tendency. This measure is called the

• mean

• trimmed mean

• mode

• median

• weighted mean

The following measurements represent the weights (in pounds) of players on a football team: 225, 250, 270, 295, 225 ,250, 280, 300 ,230, 250, 285, 315, 245, 265 ,295, 320 Calculate the percentile rank of a player that weighs 250 pounds.

• 15

• 30
• 35

• 40

In Mr. Smith’s class of 12 students, the scores (as percents) on a recent quiz were: 45, 88, 92, 76, 54, 67, 81, 90, 73, 85, 60, 95

Mr. Smith wants to find the class average by calculating the trimmed mean, by removing the highest and lowest scores. What is the trimmed mean?

• 75.5

• 80

• 78

• 82.5

Three hundred (300) students wrote a math exam. Craig scored 78% on his math exam. Calculate Craig’s percentile ranking, if 204 students received a lower score than him.

• 72
• 85
• 60
• 68

Lisa is preparing for a scholarship exam that requires a minimum score of 80% for eligibility. Last year, she scored in the 75th percentile and was not awarded the scholarship. This year, her score is in the 85th percentile. Explain why it is uncertain whether Lisa will receive the scholarship this year.

• Lisa received the scholarship last year, so she is likely to receive it this year.

• Lisa's score is above 80%, so she is guaranteed to receive the scholarship.

• It is uncertain because her exact score on the exam is not provided.

• Lisa's score in the 85th percentile ensures her eligibility for the scholarship.

Emma has just completed a math exam. In her class of 50 students, 35 students scored lower than Emma. What is Emma’s percentile rank?

• P70

• P65

• P75

• P80

Choose the letter that best completes the statement below. Trimming the highest and lowest values of a large data set will cause the median to:

• increase

• stay the same

• decrease

• change, but it is impossible to tell by how much

The Winnipeg Flyers hockey team keeps statistics on the number of goals scored by each player. Calculate Steelers’ percentile rank. (2 marks)

• 40
• 50
• 75
• 62