Question

kittens
stem | leaf
1 | 8 8
2 | 0 2 5
3 | 0 1 1 5
3|3 means 3.3 pounds
the weights of several kittens are shown on the plot. which data set is represented by the plot?
a 1.88, 2.025, 3.0115
b 1.8, 2, 2.2, 2.5, 3, 3.1, 3.5
c 1.8, 1.8, 2.2, 2.5, 3.1, 3.1, 3.5
d 1.8, 1.8, 2, 2.2, 2.5, 3, 3.1, 3.1, 3.5

Explanation:

Step1: Interpret Stem - Leaf Plot

In a stem - leaf plot, the stem is the left part and the leaf is the right part. Given that \(3|3\) means \(3.3\) pounds, so the general rule is stem.leaf pounds.

• For stem \(1\) and leaves \(8, 8\): The data points are \(1.8, 1.8\) (since stem = 1, leaf = 8, so \(1 + 0.8=1.8\) for each leaf).
• For stem \(2\) and leaves \(0, 2, 5\): The data points are \(2.0 = 2\), \(2.2\), \(2.5\) (stem = 2, leaf = 0 gives \(2.0 = 2\), leaf = 2 gives \(2.2\), leaf = 5 gives \(2.5\)).
• For stem \(3\) and leaves \(0, 1, 1, 5\): The data points are \(3.0 = 3\), \(3.1\), \(3.1\), \(3.5\) (stem = 3, leaf = 0 gives \(3.0 = 3\), leaf = 1 gives \(3.1\) (twice), leaf = 5 gives \(3.5\)).

Step2: List All Data Points

Combining all the data points from each stem - leaf combination:
From stem 1: \(1.8, 1.8\)
From stem 2: \(2, 2.2, 2.5\)
From stem 3: \(3, 3.1, 3.1, 3.5\)
So the data set is \(1.8, 1.8, 2, 2.2, 2.5, 3, 3.1, 3.1, 3.5\) which matches option D.

Answer:

D. 1.8, 1.8, 2, 2.2, 2.5, 3, 3.1, 3.1, 3.5