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Initials and surname of student: [tex]$\qquad$[/tex] Level: 2 Group

Task 6: Practical Charts and Graphs

Section A

Question 1:

A student patrol at North Star High School stood at the pedestrian crossing on Monday morning and counted the different cars that passed between 7:30 and 8:30 AM. Below is how they recorded the numbers (the tally). Complete the table by filling in the frequency column and the total.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
Cars & Tally & Frequency \\
\hline
VW Golf & HHT HT & \\
\hline
Mercedes Benz & II & \\
\hline
Toyota Tazz & HHT HH III & \\
\hline
Mazda Sting & HHT HH & \\
\hline
BMW Z4 & I & \\
\hline
Audi A4 & III & \\
\hline
& TOTAL: & \\
\hline
\end{tabular}
\][/tex]

When they got back to class, they used square paper to draw a graph summarizing the information. Compile a vertical bar graph from the information given. Name your bar graph on the axes provided below.

Question 1:

How many cars did they count altogether? [tex]$\qquad$[/tex] What is the height of the column representing the most common car model?



Answer :

GinnyAnswer
Certainly! Let's work through the information provided step-by-step:

### Step-by-Step Solution

Step 1: Analyzing the tally marks to determine the frequency:

1. VW Golf:
- Tally: HHT HT
- Frequency: Count the individual marks: H, H, T, H, T total to 5.
- Frequency = 5

2. Mercedes Benz:
- Tally: II
- Frequency: Count the individual marks: I, I total to 2.
- Frequency = 2

3. Toyota Tazz:
- Tally: HHT HH III
- Frequency: Count the individual marks: H, H, T, H, H, I, I, I total to 8.
- Frequency = 8

4. Mazda Sting:
- Tally: HHT HH
- Frequency: Count the individual marks: H, H, T, H, H total to 5.
- Frequency = 5

5. BMW Z4:
- Tally: I
- Frequency: Count the individual mark: I total to 1.
- Frequency = 1

6. Audi A4:
- Tally: III
- Frequency: Count the individual marks: I, I, I total to 3.
- Frequency = 3

Step 2: Calculate the total number of cars:

- Adding the frequencies of all the cars:
[tex]\[ 5 \,(\text{VW Golf}) + 2 \,(\text{Mercedes Benz}) + 8 \,(\text{Toyota Tazz}) + 5 \,(\text{Mazda Sting}) + 1 \,(\text{BMW Z4}) + 3 \,(\text{Audi A4}) \][/tex]
[tex]\[ = 24 \][/tex]

- Total number of cars = 24

Step 3: Determine the height of the column representing the most common car:

- The car with the highest frequency is the Toyota Tazz, with a frequency of 8.
- Maximum height of any column in the bar graph = 8

Step 4: Complete the table with the computed frequencies:

[tex]\[ \begin{tabular}{|c|c|c|} \hline \text{Cars} & \text{Tally} & \text{Frequency} \\ \hline \text{VW Golf} & \text{HHT HT} & 5 \\ \hline \text{Mercedes Benz} & \text{II} & 2 \\ \hline \text{Toyota Tazz} & \text{HHT HH III} & 8 \\ \hline \text{Mazda Sting} & \text{HHT HH} & 5 \\ \hline \text{BMW Z4} & \text{I} & 1 \\ \hline \text{Audi A4} & \text{III} & 3 \\ \hline & \text{TOTAL:} & 24 \\ \hline \end{tabular} \][/tex]

### Answers to the Questions:
1. How many cars did they count altogether?
- Total number of cars counted = 24

2. What is the height of the column representing the most common car?
- The height of the column representing the most common car (Toyota Tazz) = 8

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