Questions: Students in a statistics class took their second test. The following are the scores they earned. Fill in the stem-and-leaf plot below use the tens place as the stem and the ones place as the leaf. Describe the shape of the distribution. 58, 60, 71, 71, 50, 52, 60, 91, 64, 67, 58, 77, 51, 57, 84, 52, 55, 70, 68, 73, 85, 53, 69, 61, 85, 77 Complete the stem-and-leaf plot below. Enter each row of leaves as a set of numbers separated by commas. Use the 10's place as your separation between your stems and leaves. Stems Leaves 5

Students in a statistics class took their second test. The following are the scores they earned. Fill in the stem-and-leaf plot below use the tens place as the stem and the ones place as the leaf. Describe the shape of the distribution.
58, 60, 71, 71, 50, 52, 60, 91, 64, 67, 58, 77, 51, 57, 84, 52, 55, 70, 68, 73, 85, 53, 69, 61, 85, 77

Complete the stem-and-leaf plot below. Enter each row of leaves as a set of numbers separated by commas. Use the 10's place as your separation between your stems and leaves.
Stems Leaves
5

Transcript text: Students in a statistics class took their second test. The following are the scores they earned. Fill in the stem-and-leaf plot below use the tens place as the stem and the ones place as the leaf. Describe the shape of the distribution. \begin{tabular}{|l|l|l|l|l|} \hline 58 & 60 & 71 & 71 & 50 \\ \hline 52 & 60 & 91 & 64 & 67 \\ \hline 58 & 77 & 51 & 57 & 84 \\ \hline 52 & 55 & 70 & 68 & 73 \\ \hline 85 & 53 & 69 & 61 & 85 \\ \hline 77 & & & & \\ \hline \end{tabular} Complete the stem-and-leaf plot below. Enter each row of leaves as a set of numbers separated by commas. Use the 10 's place as your separation between your stems and leaves. \begin{tabular}{|c|c|} \hline Stems & Leaves \\ \hline $\mathbf{5}$ & $\square$ \\ \hline$\square$ & $\square$ \\ \hline$\square$ & $\square$ \\ \hline & $\square$ \\ \hline & \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Organize the data

First, we list all the scores in ascending order to make it easier to create the stem-and-leaf plot: \[ 50, 51, 52, 52, 53, 55, 57, 58, 58, 60, 60, 61, 64, 67, 68, 69, 70, 71, 71, 73, 77, 77, 84, 85, 85, 91 \]

Step 2: Create the stem-and-leaf plot

We use the tens place as the stem and the ones place as the leaf. The stems range from 5 to 9. The leaves are the ones digits of each score, listed in ascending order.

\[ \begin{array}{|c|c|} \hline \text{Stems} & \text{Leaves} \\ \hline 5 & 0, 1, 2, 2, 3, 5, 7, 8, 8 \\ \hline 6 & 0, 0, 1, 4, 7, 8, 9 \\ \hline 7 & 0, 1, 1, 3, 7, 7 \\ \hline 8 & 4, 5, 5 \\ \hline 9 & 1 \\ \hline \end{array} \]

Step 3: Describe the shape of the distribution

The distribution appears to be slightly right-skewed. Most of the scores are concentrated in the 50s and 60s, with fewer scores in the 70s, 80s, and 90s. The tail of the distribution extends to the right, indicating a skewness toward higher values.

Final Answer

The completed stem-and-leaf plot is:

\[ \boxed{ \begin{array}{|c|c|} \hline \text{Stems} & \text{Leaves} \\ \hline 5 & 0, 1, 2, 2, 3, 5, 7, 8, 8 \\ \hline 6 & 0, 0, 1, 4, 7, 8, 9 \\ \hline 7 & 0, 1, 1, 3, 7, 7 \\ \hline 8 & 4, 5, 5 \\ \hline 9 & 1 \\ \hline \end{array} } \]

The shape of the distribution is slightly right-skewed.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

Next >

Thank you for your feedback.

Copied!