Grade 11 Mathematics - Statistics Practice Questions

Flashcards for Grade 11 Mathematics Practice Questions on Statistics

Continuous Data

Data that can take any value within a range (e.g., weight, volume).

Non-Continuous Data Example

Students' grade level is not continuous data because it consists of discrete categories.

Average Score Calculation

The average score is calculated by summing the product of each score and its frequency, then dividing by the total number of students. (156 + 207 + 108 + 510) / (15+20+10+5) = 7.2

Mean and Standard Deviation

The mean is the average of the data (sum of values divided by the number of values). The standard deviation measures the spread of the data around the mean.

Sixth Decile

The sixth decile is the value below which 60% of the data falls. With provided data, you order the values and find the value that corresponds to the 60th percentile.

Median and Mode

A measure of central tendency that is not affected by extreme values.

Extreme Values

Values in a dataset that are unusually high or low compared to the other values.

Mode

The most frequently occurring value in a distribution.

Mean and Variance of Grouped Data

For grouped data, the mean is estimated by using the midpoints of the class intervals. Variance measures the spread of the data around the mean.

Effect of Adding a Data Point on Mean and Standard Deviation

The mean age will stay the same, but the standard deviation will decrease.

Missing Data in Frequency Distribution

Solve a system of equations based on the given mean to find the missing frequencies.

Combined Mean Weight

Weighted average, considering the number of children in each group.