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1. Complete the chart given below:
Shape of Curve Sketch Mean/Median/Mode
Relationship
Example
Bimodal mean < median < mode
The number of children in a family.
2. The number of red blood cells (in millions per cubic microlitre) is normally distributed with a mean of 4.8 and a standard deviation of 0.3. Include a sketch and round answers to 1 decimal place for each of the following: a) Determine the percent of people who have a red blood cell count between 4.7 and 5.0. b) Determine the count someone would need to have to be in the top 5% of people.

3. For a given data set, z = 2, μ = 27 units and x is 8 times the value of σ. Determine the values of x and σ.
4. A basketball coach kept track of the amount of time played (in minutes) and the number of points each of his players scored. The results are given in the table below:
Minutes Played 151 19 164 87 135 111 54 163 192 98 71
Points Scored 50 11 38 28 39 39 8 61 52 33 a) Determine the correlation coefficient (rounded to 3 decimal places) and classify the linear correlation. A graphing calculator is required . b) Determine the equation of the line of best fit (values rounded to 1 decimal place).
A graphing calculator is required .
5. A laboratory technician monitors the growth of a bacterial culture by scanning it every hour and estimating the number of bacteria. The table below shows the data.
26
Time (h)
Population
1
10
2
21
3
43
4
82
5
168
6
320
7
475
Using a graphic calculator and the data given above, use non-linear regression to construct a curve of best fit. Record the equation of the curve (values rounded to 1 decimal place) and the coefficient of determination (rounded to 3 decimal places). Show all values.