Collect data about the number of people working in the different departments of a company that you are familiar with Task 1 (For Criteria P8) (a) Collect data about the number of people working in the different departments of a company that you are familiar with (if you are unable to research information for a company then use the following Sales 13, Admin 8, Quality 5, Production 70, Stores 6):
Present this data as:
a pie chart a vertical bar chart You may use notes provided online through the TECOL website and other textbooks and online resources where applicable and note that you may choose to produce these using software such as MS Excel Charts or alternatively you can produce these on graph paper making sure to provide chart titles and axes labels etc. Present your work professionally at all times.
(b) The amount of money earned in one week by people working part-time in a factory, correct to the nearest £10, is shown below.
90 90 70 110 90 140 110 80
140 40 90 50 110 110 60 100
80 90 130 90 110 90 120 70
140 170 80 120 120 110 50 110
50 100 110 90 120 70 110 80
Use this data for the product to:
form a frequency distribution table with 5 classes with widths 40-69, 70-99, 100-129, 130-159, 160-189 draw a histogram for this data form a cumulative frequency distribution table draw a cumulative frequency curve (less than Ogive) You may use notes provided online through the TECOL website and other textbooks and online resources where applicable and note that you may choose to produce these using software such as MS Excel Charts or alternatively you can produce these on graph paper making sure to provide chart titles and axes labels etc. Present your work professionally at all times.
(c)
The mass in kilograms of 30 ingots is measured and recorded below:
8.0 8.6 8.2 7.5 8.0 9.1 8.5 7.6 8.2 7.8
8.3 7.1 8.1 8.3 8.7 7.8 8.7 8.5 8.4 8.5
7.7 8.4 7.9 8.8 7.2 8.1 7.8 8.2 7.7 7.5
Use this data to:
form a frequency distribution table having 5 classes with widths 7.1-7.5, 7.6-8.0, 8.1-8.5, 8.6-9.0, 9.1-9.5 form a histogram form a cumulative frequency table form a cumulative frequency curve (less than Ogive) You may use notes provided online through the TECOL website and other textbooks and online resources where applicable and note that you may choose to produce these using software such as MS Excel Charts or alternatively you can produce these on graph paper making sure to provide chart titles and axes labels etc. Present your work professionally at all times.
Task 2 (For Criteria P9) (a) The following set of data refers to sales ( to nearest 100) of a newly manufactured product in 6 consecutive months.
Jan 400 Apr 600
Feb 500 May 700
Mar 500 Jun 800
Determine the mean, median and mode values for this set.
(b) The frequency distribution for the value of resistance in ohms of 38 resistors is as shown. Determine the mean, median and mode value of resistance for the grouped frequency table provided below using the correct formulae and showing all of your working clearly.
Groups: Frequency: Class width:
20.5–20.9 6 0.5
21.0–21.4 8 0.5
21.5–21.9 12 0.5
22.0–22.4 8 0.5
22.5–22.9 4 0.5
You may use notes provided online through the TECOL website and other textbooks and online resources where applicable.
Task 3 (For Criteria P10)
You may use notes provided online through the TECOL website and other textbooks and online resources where applicable. Show all of your working out clearly.
Task 4 (For Criteria M3) Calculus is a form of mathematics that can be used to determine the power of an engine.
The power from an new development engine (in W) is represented by Power, where t is the time in seconds.
(i) Draw a graph of power against time (use software or graph paper).
(ii) Show the area on the graph clearly which represents the energy converted between 5 and 10 seconds
(iii) Evaluate (using the rules of integration) the energy between 5 and 10 seconds
Part of the machine moves with a velocity given by the expression mm/s
(iv) Calculate the displacement over the first 5 seconds of motion