Comparing Data Sets - ACT Science

$25\text{%}$. $\frac{50-40}{40} \times 100% = 25%$.

IQR = Q3 - Q1. The range of the middle 50% of the data.

1. 14 appears most frequently (3 times).

1. Average of middle two values (8+10)/2.

1. Maximum (24) minus minimum (12).

$\frac{y_2-y_1}{x_2-x_1}$. Rise over run between two points.

1. Third quartile (7) minus first quartile (3).

1. 14 appears most frequently (3 times).

1. Average of middle two values (10+12)/2.

1. Sum (30) divided by count (5).

The mode is 2. The value 2 appears twice, more than any other value.

1. Average of middle two values (10+12)/2.

Mean is greater. Outliers in the right tail pull the mean higher.

Symmetry around the mean. The distribution is bell-shaped with equal sides around the center.

A distribution with two modes. Two values occur with the highest frequency.

The mean is 9.6. Sum the values (48) and divide by count (5).

To display quantitative data distribution. It organizes data by stems (tens) and leaves (units).

Bar chart. Shows frequency of different categories or groups.

Outliers can skew the mean. Outliers pull the mean toward their extreme values.

Median is resistant to outliers. Median doesn't change much when extreme values are present.

Tail on the left side; mean < median. The distribution has a longer tail on the left side.

Positively skewed. The tail extends toward larger values; mean > median.

To show trends over time. It displays how data changes across time intervals.

Points outside the whiskers. Whiskers extend to the most extreme non-outlier values.

As one variable increases, the other decreases. Both variables move in opposite directions to each other.

Strong negative correlation. The variables have a strong inverse relationship.

As one variable increases, the other also increases. Both variables move in the same direction together.

Uniform distribution. All values occur with approximately equal frequency.

A summary of how often values occur. It counts how many times each value appears.