a) A company wishes to review its distribution operation and from its time sheet records it found that 144 vehicles were loaded in a 24 hour period. A frequency distribution table was prepared from the data as follows:
Time to load (minutes) Number of vehicles 40 up to 50 17 50 up to 60 61 60 up to 70 59 70 up to 80 7
From the above data construct :
i) a frequency histogram.
ii) a frequency polygon.
iii) a cumulative frequency curve (ogive).
iv) From your ogive estimate:
- the median loading time
- the interquatile range and quartile deviation.
- The number of vehicles loaded in under 52 minutes.
The frequency distribution shows the times taken by 30 pupils to do their Mathematics homework. Times have been measured to the nearest minute.
Time (min) Frequency
i) Construct a histogram of the data.
ii) Construct a polygon.
iii) Construct a less than cumulative frequency table and draw the corresponding curve. Use your curve to estimate: - the median,
- the lower and upper quartile ages, inter quartile range and quartile deviation. - the percentage of pupil spending more than 30 minutes to do their homework
On a certain day, 500 cars were park in the parking lots of a shopping complex. The parking duration of each car (to the nearest minute) is shown in the table below.
|Time |1-20 |21-30 |31-40 |41-50 |51-60 |61-80 | |Frequency |62 |73 |90...