Math 10 Fourth Grading Exam

What are the measures of position commonly used in statistics?

• Mean, median, mode

• Quartiles, deciles, percentiles

• Range, variance, standard deviation

• Highest Score, Lowest Score, Range

Which measure of position divides a dataset into four equal parts?

• Quartiles

• Deciles

• Percentiles

• Mean

If a dataset has 100 values, how many deciles would divide it into 10 equal parts?

• 5

• 10

• 25

• 100

How does the use of percentiles differ from quartiles and deciles in analyzing data?

• Percentiles divide data into 100 equal parts, while quartiles divide data into 4 parts.

• Quartiles divide data into 25 equal parts, while percentiles divide data into 100 parts.

• Deciles divide data into 10 equal parts, while percentiles divide data into 100 parts.

• Percentiles are used only for categorical data, while quartiles and deciles are for numerical data.

Evaluate the effectiveness of illustrating quartiles, deciles, and percentiles in representing statistical data.

• By calculating the mean

• By identifying outliers

• By assessing data variability

• By conducting literature reviews

What is the range of scores covered by the interval with the highest frequency?

• 60-69

• 70-79

• 80-89

• 90-99

Why is it important to organize data into intervals when dealing with grouped data?

• To make the data easier to understand

• To reduce the number of data points

• To provide a summary of the data distribution

• To eliminate outliers from the dataset

Calculate the median score of the students based on the given table.

• 82

• 85

• 87

• 90

How would the median score change if the frequency of the 80-89 interval doubled?

• Increase

• Decrease

• Remain the same

• Cannot be determined

Which interval contains the score that represents the 75th percentile?

• 70-79

• 80-89

• 90-99

• 100-109