The following table shows some of the data gathered by a company on average water usage in homes - Leaving Cert Mathematics - Question 8 - 2016
Question 8
The following table shows some of the data gathered by a company on average water usage in homes.
| Activity | Percentage used | Angle (Degre... show full transcript
Worked Solution & Example Answer:The following table shows some of the data gathered by a company on average water usage in homes - Leaving Cert Mathematics - Question 8 - 2016
Step 1
Find the percentage used for the ‘Other’ activity.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the percentage used for the 'Other' category, we first need to ensure that the total percentages add up to 100%.
The added percentages are:
WC flushing: 30%
Personal Washing – Baths and Taps: 21%
Personal Washing – Showers: 12%
Clothes Washing: 13%
Calculating the sum:
30+21+12+13=76
Thus, the percentage for 'Other' can be calculated as:
100−76=24
Therefore, fill in the table: Other activity uses 24%.
Step 2
Complete the table above to show the remaining angles in the pie chart.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the angles corresponding to each percentage in the pie chart, we use the formula:
Angle=(100Percentage)×360
For WC flushing:
(10030)×360=108°
For Personal Washing – Baths and Taps:
(10021)×360=75.6°
For Personal Washing – Showers:
(10012)×360=43.2°
For Clothes Washing:
The angle is already provided: 46°-8°
For Other:
(10024)×360=86.4°
The completed table of angles is:
Activity
Percentage used
Angle (Degrees)
WC flushing
30%
108°
Personal Washing – Baths and Taps
21%
75.6°
Personal Washing – Showers
12%
43.2°
Clothes Washing
13%
46°-8°
Other
24%
86.4°
Step 3
Draw a pie chart to represent the data.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To construct the pie chart:
Draw a circle with an appropriate radius.
Create sectors corresponding to the angles calculated:
108° for WC flushing
75.6° for Personal Washing – Baths and Taps
43.2° for Personal Washing – Showers
46°-8° for Clothes Washing
86.4° for Other
Label each sector with the corresponding activity name and angle.
Ensure:
All angles are drawn correctly.
Each section is appropriately labeled with the name of the activity and the size of the angle.
Join the Leaving Cert students using SimpleStudy...