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Math  /  Data & Statistics

QuestionUse the following scores from an algebra class of 30 students. The scores are for one 25 -point quiz. 17,20,15,17,21,16,12,19,24,20,20,15,20,19,1620,17,18,18,10,18,21,18,16,19,16,21,17,15,22\begin{array}{l} 17,20,15,17,21,16,12,19,24,20,20,15,20,19,16 \\ 20,17,18,18,10,18,21,18,16,19,16,21,17,15,22 \end{array}
Construct a line plot for the quiz. Which score(s) occurred with the greatest frequency? (Enter your answers as a comma-separated list.) □\square

Studdy Solution

STEP 1

1. We are given the quiz scores of 30 students.
2. We need to construct a line plot (dot plot) to visualize the frequency of each score.
3. We need to determine which score(s) occurred with the greatest frequency.

STEP 2

1. Organize the data by listing the scores in ascending order.
2. Create a frequency table for the quiz scores.
3. Construct a line plot (dot plot) based on the frequency table.
4. Identify the score(s) with the greatest frequency.

STEP 3

List the quiz scores in ascending order.
{10,12,15,15,15,16,16,16,16,17,17,17,17,18,18,18,18,19,19,19,20,20,20,20,21,21,21,22,24}\{10, 12, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 24\}

STEP 4

Create a frequency table for the quiz scores.
ScoreFrequency101121153164174184193204213221241\begin{array}{c|c} \text{Score} & \text{Frequency} \\ \hline 10 & 1 \\ 12 & 1 \\ 15 & 3 \\ 16 & 4 \\ 17 & 4 \\ 18 & 4 \\ 19 & 3 \\ 20 & 4 \\ 21 & 3 \\ 22 & 1 \\ 24 & 1 \\ \end{array}

STEP 5

Construct a line plot (dot plot) based on the frequency table. Each dot represents one student's score.
10:∙12:∙15:∙∙∙16:∙∙∙∙17:∙∙∙∙18:∙∙∙∙19:∙∙∙20:∙∙∙∙21:∙∙∙22:∙24:∙\begin{array}{c} 10: \bullet \\ 12: \bullet \\ 15: \bullet \bullet \bullet \\ 16: \bullet \bullet \bullet \bullet \\ 17: \bullet \bullet \bullet \bullet \\ 18: \bullet \bullet \bullet \bullet \\ 19: \bullet \bullet \bullet \\ 20: \bullet \bullet \bullet \bullet \\ 21: \bullet \bullet \bullet \\ 22: \bullet \\ 24: \bullet \\ \end{array}

STEP 6

Identify the score(s) with the greatest frequency. From the frequency table and the line plot, the scores 16, 17, 18, and 20 each have the highest frequency of 4.
Therefore, the scores with the greatest frequency are: 16,17,18,2016, 17, 18, 20

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