Question

bar graphs evaluation

1. for a survey assignment, students were asked to identify their favourite sport. the data is shown in the table.

favourite sport	frequency
volleyball	39
tennis	7
foosball	19
basketball	55

a) create a bar graph for this data. include all the parts.
6
b) how many students were surveyed?
1
c) which sport was the most favourite?
1
d) how could you answer part c) using only the table?
1
e) how could you answer part c) using only the graph?
1

Explanation:

Step1: Calculate total number of students

Add up all the frequencies: $24 + 39+7 + 19+55$

Step2: Determine most - favourite sport

Find the sport with the highest frequency in the table.

Step3: Explain using table

The sport with the highest frequency value in the 'Frequency' column is the most - favourite.

Step4: Explain using graph

On the bar graph, the tallest bar represents the most - favourite sport.

Answer:

b) $24 + 39+7 + 19+55=144$ students were surveyed.
c) Basketball was the most favourite sport as it has a frequency of 55, which is the highest among all sports.
d) By looking at the 'Frequency' column in the table and identifying the sport with the highest frequency value.
e) By observing the bar graph and identifying the tallest bar; the sport corresponding to the tallest bar is the most favourite.