Question

electricity
electricity
electricity
fueloil
fueloil
fueloil
electricity
fueloil
other
gas
other
gas
electricity
electricity
other
electricity
other
other
electricity
electricity
a) since data were collected for ▼ select an answer ▼ variable(s), the correct graph to make is a ▼ select an answer ▼ .
b) complete the frequency/relative frequency table.

heating source	frequency	relative frequency
fueloil
gas
other

c) which of the following is the correct bar chart for the given data?

Explanation:

Part (a)

Step1: Identify Variable Type

The data is about heating sources (Electricity, FuelOil, Gas, Other), which is a single categorical variable. For a single categorical variable, a bar graph (or bar chart) is appropriate. So the first dropdown is "one" (since one variable), and the second is "bar graph".

Part (b)

Step1: Count Frequency of Electricity

Count how many times "Electricity" appears. Let's list the data:
Electricity: 1. Electricity, 2. Electricity, 3. Electricity, 7. Electricity, 13. Electricity, 14. Electricity, 16. Electricity, 17. Electricity, 18. Electricity. Wait, let's count again:
Looking at the list:

1. Electricity
2. Electricity
3. Electricity
4. FuelOil
5. FuelOil
6. FuelOil
7. Electricity
8. FuelOil
9. Other
10. Gas
11. Other
12. Gas
13. Electricity
14. Electricity
15. Other
16. Electricity
17. Other
18. Other
19. Electricity
20. Electricity

Wait, let's count each:

• Electricity: Let's mark each: positions 1,2,3,7,13,14,16,19,20. Wait, no, let's count line by line:

Line 1: Electricity (1)
Line 2: Electricity (2)
Line 3: Electricity (3)
Line 4: FuelOil (1)
Line 5: FuelOil (2)
Line 6: FuelOil (3)
Line 7: Electricity (4)
Line 8: FuelOil (4)
Line 9: Other (1)
Line 10: Gas (1)
Line 11: Other (2)
Line 12: Gas (2)
Line 13: Electricity (5)
Line 14: Electricity (6)
Line 15: Other (3)
Line 16: Electricity (7)
Line 17: Other (4)
Line 18: Other (5)
Line 19: Electricity (8)
Line 20: Electricity (9)

Wait, maybe I miscounted. Let's do it properly:

List of heating sources:

1. Electricity
2. Electricity
3. Electricity
4. FuelOil
5. FuelOil
6. FuelOil
7. Electricity
8. FuelOil
9. Other
10. Gas
11. Other
12. Gas
13. Electricity
14. Electricity
15. Other
16. Electricity
17. Other
18. Other
19. Electricity
20. Electricity

Now count each:

• Electricity: lines 1,2,3,7,13,14,16,19,20. Wait, that's 9? Wait line 1:1, 2:2, 3:3, 7:4, 13:5, 14:6, 16:7, 19:8, 20:9. So 9 times.

• FuelOil: lines 4,5,6,8. That's 4 times.

• Gas: lines 10,12. That's 2 times.

• Other: lines 9,11,15,17,18. That's 5 times.

Now total data points: 9 (Electricity) + 4 (FuelOil) + 2 (Gas) + 5 (Other) = 20. Correct.

Step2: Calculate Relative Frequency

Relative Frequency = Frequency / Total number of data points (20).

• Electricity: Frequency = 9, Relative Frequency = 9/20 = 0.45

• FuelOil: Frequency = 4, Relative Frequency = 4/20 = 0.2

• Gas: Frequency = 2, Relative Frequency = 2/20 = 0.1

• Other: Frequency = 5, Relative Frequency = 5/20 = 0.25

To determine the correct bar chart, we look at the frequencies: Electricity (9), FuelOil (4), Gas (2), Other (5). The bar chart should have bars with heights corresponding to these frequencies. So the bar for Electricity is the tallest (height 9), then Other (5), then FuelOil (4), then Gas (2). We would identify the bar chart that matches these heights.

(Note: Since the actual bar chart options are not visible here, but based on the frequencies, the correct bar chart will have Electricity with the highest bar, then Other, then FuelOil, then Gas with the shortest bar.)

Answer:

(Part b)

Heating Source	Frequency	Relative Frequency
FuelOil	4	0.2
Gas	2	0.1
Other	5	0.25

Part (c)