### Tables And Graphs

Worked Exercise

- Kariet ole Koria started from his home at 8.00a.m to Narok, a distance of 140km. After covering 80 km he rested for 30 minutes before proceeding with the journey.

Calculate Koinet Ole Koria’s average speed for the whole journey in km/h

Working

Total distance = 140km

Total time taken = 3 hrs

Average speed =^{Distance covered}/_{Total time taken}=^{140}/_{3.5}= 40 km/h

The correct answer is D (40 km/h) - The graph shown below represents Kabugi’s journey from Nairobi to Bungoma and back.

What was his average speed for the whole journey?- 53 km/h
- 50 km/h
- 100 km/h
- 106 km/h

Working

Total distance;

Nairobi – Bungoma = 400km

Bungoma - Nairobi = 400km

Total = 800km

Total time = 8 hours

Average Speed =^{Total distance covered}/_{Total time taken}= ( 800 ÷ 8)km/h

= 100km/hr

The correct answer is C (100km/h)

- The pie chart shown below shows how Erastus spent his salary. How much did he spend on food and transport if he saved sh2500
- Sh 4500
- Sh 12000
- Sh 2500
- Sh 5000

Working

The angle representing savings

{360 - (78 + 72 + 54 + 81) } = 75º

If 75º = Sh 2500

360º= ?

= (^{360 x 2500)}/_{75}= Sh 12000

Food and transport = 54 + 81

= 135

(135 x 12000) Sh

360

= Sh 4500

- Eleven standard 4 pupils of St. John school scored a test as follows 95, 50, 48, 63, 58, 75, 48, 44, 58, 84, 48. Which of the following a arrangements shows the mean, mode and median of the marks?
- 58, 61, 48
- 61, 48, 58
- 61, 58, 48
- 48, 58, 61

Working

Mean = Total marks

No of children

= 671 ÷ 11

= 61 marks

Median: 44, 48, 48, 48, 50, 58, 58, 63, 75, 84, 95

The number in the middle is 58.

Mode: is the number appearing many times.

The correct answer is B (61, 58, 48)

- Njoroge scored as follow in a test.

70, 55, 80, 50, 55

What is his mean score?- 55
- 62
- 65
- 80

Working

Mean = (70 + 55 + 80 + 55) ÷ 5

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