Question

d) what are four facts you can tell by the spread of data? (4 p) 1. 2. 3. 4.

Explanation:

Step1: Determine the minimum value

The left - most point of the whisker gives the minimum value. From the number line, the minimum value is \(1\).

Step2: Determine the first quartile (\(Q_1\))

The left - hand side of the box gives \(Q_1\). From the number line, \(Q_1 = 3\).

Step3: Determine the median (\(Q_2\))

The line inside the box gives the median. From the number line, \(Q_2=4.5\).

Step4: Determine the third quartile (\(Q_3\))

The right - hand side of the box gives \(Q_3\). From the number line, \(Q_3 = 6\).

Step5: Determine the maximum value

The right - most point of the whisker gives the maximum value. From the number line, the maximum value is \(20\).

Based on these values:

1. The minimum value (smallest data point) is \(1\).
2. The first quartile (\(Q_1\)) is \(3\) (25% of the data lies below \(3\)).
3. The median (\(Q_2\)) is \(4.5\) (50% of the data lies below \(4.5\)).
4. The third quartile (\(Q_3\)) is \(6\) (75% of the data lies below \(6\)).
5. The maximum value (largest data point) is \(20\).

We can pick four of these facts.

Answer:

1. The minimum value is \(1\).
2. The first quartile (\(Q_1\)) is \(3\).
3. The median (\(Q_2\)) is \(4.5\).
4. The third quartile (\(Q_3\)) is \(6\).