Question

16 the stem and leaf plot shows the scores given to the dogs at a dog show. possible scores were between 0.1 and 5.0. dog show scores stem leaf 0 8 1 2 5 2 2 4 8 3 0 3 3 6 8 4 0 5 5 1|5 means a score of 1.5. what is the mode of the scores? a 3.3 and 4.5 b 3.3 c 0.8 d 4.5

Explanation:

Step1: Recall the definition of mode

The mode is the value that appears most frequently in a data set.

Step2: Analyze the stem - and - leaf plot

From the stem - and - leaf plot:

• The score \(0.8\) (stem \(0\), leaf \(8\)) appears \(1\) time.
• The scores \(1.2\) (stem \(1\), leaf \(2\)) and \(1.5\) (stem \(1\), leaf \(5\)) appear \(1\) time each.
• The scores \(2.2\) (stem \(2\), leaf \(2\)), \(2.4\) (stem \(2\), leaf \(4\)), \(2.8\) (stem \(2\), leaf \(8\)) appear \(1\) time each.
• The score \(3.0\) (stem \(3\), leaf \(0\)) appears \(1\) time, \(3.3\) (stem \(3\), leaf \(3\)) appears \(2\) times, \(3.6\) (stem \(3\), leaf \(6\)) appears \(1\) time, \(3.8\) (stem \(3\), leaf \(8\)) appears \(1\) time.
• The score \(4.0\) (stem \(4\), leaf \(0\)) appears \(1\) time, \(4.5\) (stem \(4\), leaf \(5\)) appears \(2\) times.

Since \(3.3\) and \(4.5\) both appear \(2\) times (more frequently than other values which appear only \(1\) time).

Answer:

A. \(3.3\) and \(4.5\)