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TT Mathematics 4302 (Modular) Spec B. Module 1- Higher Section B Based on June 2005 (3302). Probability 5X. scattergraph Independent probability – tree diagram Histograms Interpreting mean from grouped data. 5. A bag contains 200 coloured discs, which are either red, blue or yellow.
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TT Mathematics 4302(Modular) Spec B Module 1- Higher Section B Based on June 2005 (3302)
Probability 5X. scattergraph • Independent probability – tree diagram • Histograms • Interpreting mean from grouped data
5. A bag contains 200 coloured discs, which are either red, blue or yellow. There are 86 red discs in the bag. p(blue disc) = 0.22. Calculate the number of yellow discs in the bag. No. of blue = 0.22 x 200. 44 blues Also, 86 reds We know that there are 130 red and blue discs. There must be 70 yellows. (4)
7. The value of 6 houses in 2000 is compared to the value of similar houses in 2004. Here are the results.
(b) Describe the relationship shown in the scatter graph. It is a positive correlation. The bigger the house price in 2000, the bigger the house price in 2004. (c) In 2000 a house was valued at £80 000. Estimate the value of a similar house in 2004. About £150 000
6. The probability that it rains on any day in June is 0.3. The tree diagram represents a Saturday and Sunday in June. a) Fill in the probabilities on the tree diagram. 0.3 0.3 0.7 0.3 0.7 (2) 0.7
“or” rule: or means + b) Calculate the probability that it rains on only one of the two days. Looking for p(rain,dry or dry,rain) = p(rain,dry) + p(dry,rain) = 0.3 x 0.7 + 0.7 x 0.3 = 0.21 + 0.21 = 0.42. (3) OK doing this without a calculator??
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. Frequency Density = frequency ÷ class width • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. Frequency Density = frequency ÷ class width • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. Frequency Density = frequency ÷ class width • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. • Draw a histogram to represent the weights of the Nearland boys.
The grouped frequency table shows the weights, in kg, of 100 twelve-year-old Nearland boys. • Draw a histogram to represent the weights of the Nearland boys.
Estimate how many of the Nearland boys weighed between 55kg and 67kg. (2)
The weights of 100 twelve-year-old Farland boys are shown in the histogram. • Compare the two distributions. Range: Nearland boys’ weights are more consistent. (2) Mean (or median): Farland boys’ mean (or median) weight is higher than that for Nearland.
Some times in minutes are shown in the table. • The data was used to calculate an estimate of the mean. • This was found to be 30 mins. • Find the missing value f. You must show your working.
