(a) A car travels the 1st 19km of its journey at an average speed of 57km/h and the remaining 55km at an average speed of 110 km/h. 1. Find the average speed of car in m/s for its entire journey. 2. If car arrives at its destination at 15:06 after travelling for hours. Find the time the car started the journey.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
(a) A car travels the 1st 19km of its journey at an average speed of 57km/h and the
remaining 55km at an average speed of 110 km/h.
1. Find the average speed of car in m/s for its entire journey.
2. If car arrives at its destination at 15:06 after travelling for
hours. Find the time
the car started the journey.
(b) The value of an investment portfolio decreased by 8% in 2010. in 2011, its value
increased by 5% of its value in 2010. Given that the value of the portfolio at the
end of 2011 was $61824, find its original value
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