Question

The data below shows the stem and leaf plot of the number of counties in some U.S. states in 2013.Which of the following statements are true? Select all that apply. a) There are $_5$_ states in the data set that have $_10$_  counties or greater but have $_19$_ counties or lesser.b) There are $_4$_ states in the data set that have $_20$_  counties or greater but have $_29$_ counties or lesser.c) There are $_11$_ values in the data set.d) There are $_16$_ values in the data set.

Answer 1

The correct options based on the information given in tne stem and leaf plot are B and D.

Using the data given on the stem and leaf plot :

• 0, 0, 3, 5, 5, 8, 10, 14, 14, 15, 16, 16, 21, 23, 23, 29

Option A :

States with >= 10 counties and <= 19 counties :

• (10, 14, 14, 15, 16, 16) = 6 (False)

Option B :

States with >= 20 counties and <= 29 counties :

(21, 23, 23, 29) = 4 (True)

Option C :

There are 11 values in the dataset (False).

Option D :

There are 16 values in the dataset (True).

Therefore, the correct options are B and D.

Answer 2

Given the information on the stem and leaf plot, we can write the following values for each stem:

`\begin{gathered} 0,0,3,5,5,8 \\ 10,14,14,15,16,16 \\ 21,23,23,29 \end{gathered}`

First, notice that there are 5 states that have 10 countes or greater (10,14,14,15,16) and have 19 conties or lesser.

Also, there are 16 values in the data set.