Mean, median and mode |
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Tables |

Graphs |

Assessment Questions |

Assessment Questions
**Part 1 **

**Part 2**

**1**. The table below shows the types of businesses at Nyaga's local shopping centre.

Type of business | Hotel | Butchery | Shop | Salon |

Number | 10 | 20 | 30 | 10 |

(a) Draw a bar graph to represent this data.

(b) How many business units were there?

(c) What fraction of the business units were:

(i) Hotels (ii) Butcheries

(iii) Shops (iv) Salons

**2**. The bar graph below shows the number of rainy days in a certain year in Nakuru.

(a) Which months had the least number of rainy days?

(b) Which month had the most rainfall?

(c) On how many days did the rain fall in the most wet month?

(d) In which months did the rain fall for 15 days?

(e) For how many days did the rain fall for the first half of the year?

**3**. The graph below represents the journey of a car between two towns which were 180 km apart.

(a) Find the distance covered by the car between 11.00 a.m and 12.30 p.m

(b) What was the speed of the car towards the end of the journey in metres per second?

(c) What was the average speed for the whole journey in metres per second?

**4**. Mene used his salary as shown in the pie chart.

[Image]

How much did he spend on clothes if his salary was Sh 24 000?

**5**. A bus made 25 journeys between two towns. The data shows the average speed (km\h) for journeys.

42 | 46 | 47 | 48 | 44 |

44 | 42 | 45 | 41 | 44 |

44 | 42 | 44 | 55 | 45 |

49 | 48 | 46 | 43 | 43 |

41 | 49 | 43 | 41 | 49 |

(a) Draw a bar chart to represent the data.

(b) Determine: (i) Mode (ii) Median (iii) Mean

**6**. The data shows the marks obtained by 40 pupils in standard 5 in a Mathematics test.

5 | 5 | 7 | 5 | 6 | 3 | 4 | 6 |

6 | 6 | 6 | 7 | 5 | 6 | 7 | 5 |

4 | 3 | 5 | 6 | 4 | 4 | 6 | 2 |

3 | 4 | 6 | 3 | 6 | 5 | 5 | 6 |

2 | 5 | 4 | 2 | 8 | 6 | 8 | 4 |

(a) Draw a frequency table using tally marks.

(b) Draw a bar graph to represent this information

(c) Find: (i) Mode (ii) Mean (iii) Median

**7**. The average age of 10 girls is 15 years. If the average age of 7 of the girls is 14 years what is the average age of the remaining number of girls?

**8**. The graph below shows tie's journey from Town X to Y and back.

[Image]

Calculate Tie's average speed for the return journey.

**9**. The table below shows the marks of a certain candidate.

Subject | Maths | English | Science | Social studies | Kiswahili |

Score out of 10 | 8 | 7 | 5 | 4 | 6 |

If a pie chart was to be drawn, what angle would represent Science?

**1**. The table below shows the height of seven girls in centimetres.

Name | Jane | Florence | Nancy | Joy | Serena | Janet | Beryl |

Height | 110 cm | 140 cm | 120 cm | 145 cm | 150 cm | 148 cm | 130 cm |

(a) Draw a bar graph to represent this information.

(b) What is the median height in this group of girls?

**2**. The graph below is a record of milk delivered by farmers to s dairy milk processing centre in one week.

How much did the farmers earn from their milk during the week if each half litre of milk was sold for Sh 21?

**3**. A rally car covered 400 km in 3 legs P, Q and R with two resting stops as shown on the graph below. Use the graph to answer the questions that follows.

(a) What is the highest average speed travelled in any of the three legs?

(b) At what time did the rally end?

**4**. The graph below shows Jane's journey from school to her home. Having found nobody at home she immediately drove back to school. Use the graph below to answer the questions thereafter.

(a) Calculate her average speed for the whole journey.

(b) On her way home, she overpassed an overturned lorry at 9.30 am along the road. At what time did she bypass the accident spot again on her way back?

**5**. I left my home at 10 am and drove for \(2 {1\over2}\) hrs at 60 km/h. It took me \(1 {1\over2}\) hr doing shopping then I travelled back by train at 30 km/h. Plot my journey on a graph and find out what time I arrived back home.

**6**. A leaking petrol tank which has 50 litres of fuel loses 0.5 litres of petrol every half hour. Draw a graph to show this leakage was from 7am to 10.00 am. If the tank had 40 litres at 7.30 am, at what time will the petrol gauge read zero litres?

**7**. The chart below represents various language groups in a certain town.

(a) How many degrees represent others?

(b) If 120 000 people speak spanish, what is the total population of the town?

**8**. Omollo recorded the aggs laid in this poultry farm in the first 11 days of September as follows; 50, 28, 38, 48, 50, 38, 38, 50, 50, 38, 38.Find the mode.

**9**. Five bags weigh 1.68 kg, 2.8 kg, 3.35 kg, 5.4 kg and 5060 g. What is the mean weight?

**10**. Find the mode and the median of the following; 3, 5, 7, 9, 9, 10, 3, 4, 9.