MS 150 Statistics t01 3.4 speed trap • Name:

Causeway Causeway Hospital

Using a Bushnell radar speed gun, the speed of vehicles on two stretches of road were measured on Saturday 23 January 2011 at around 9:30 in the morning.

Causeway

v (kph)
40
55
39
68
44
  1. __________ Find the sample size n.
  2. __________ Find the mode.
  3. __________ Find the median.
  4. __________ Find the sample mean x.
  5. __________ Find the sample st. dev. sx.
  6. __________ Find the sample CV.

Hospital

v (kph)
23
34
41
29
38
  1. __________ Find the sample size n.
  2. __________ Find the mode.
  3. __________ Find the median.
  4. __________ Find the sample mean x.
  5. __________ Find the sample st. dev. sx.
  6. __________ Find the sample CV.
v (kph)
23
29
34
38
39
40
41
44
55
68

Use the table on the right for this section of the test.

  1. __________ What is the level of measurement for the data?
  2. __________ Find the minimum.
  3. __________ Find the maximum.
  4. __________ Find the range.
  5. __________ Find the midrange.
  6. __________ If this data is to be divided into five classes, what is the width of a single class?
  7. Determine the frequency and calculate the relative frequency using five classes. Record your results in the table provided.
    Class upper limitsFrequency FRelative Frequency p(x)
    Sums:
  8. Sketch a frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate.
  9. _______________ What is the shape of the histogram?
  10. __________ Using only the Causeway average and standard deviation, calculate the z-score for a car that was measured at 78 kph.
  11. __________ Using only the Causeway average and standard deviation, is 78 kph a statistically ordinary or unusual speed based on the z-score?