Question

3. Consider the sample data set below. These numbers represent math test marks. 75 82 62 53 67 75 82 90 47 a) Calculate the mean. (1 mark) b) Calculate the standard deviation of the sample. Complete the chart below first and then use the formula in the space below. (6 marks) $x$ $x - \mu$ $(x - \mu)^2$ c) Calculate the quartiles $Q_1$, $Q_2$, and $Q_3$. Then calculate the inter-quartile range (IQR). (4 marks) d) Sketch a box-and-whisker plot below. (2 marks) e) What is the z-score of a score of 81%? (3 marks) f) Determine the 60th percentile of the data. Show your work. (3 marks) 4. A data point has a z-score of -0.656. If the sample had a mean of 63.1 and a standard deviation of 6.71, determine the value of the data point. (3 marks)

          3. Consider the sample data set below. These numbers represent math test marks.
75
82
62
53
67
75
82
90
47
a) Calculate the mean. (1 mark)
b) Calculate the standard deviation of the sample. Complete the chart below first and then use
the formula in the space below. (6 marks)
$x$
$x - \mu$
$(x - \mu)^2$
c) Calculate the quartiles $Q_1$, $Q_2$, and $Q_3$. Then calculate the inter-quartile range (IQR). (4
marks)
d) Sketch a box-and-whisker plot below. (2 marks)
e) What is the z-score of a score of 81%? (3 marks)
f) Determine the 60th percentile of the data. Show your work. (3 marks)
4. A data point has a z-score of -0.656. If the sample had a mean of 63.1 and a standard deviation
of 6.71, determine the value of the data point. (3 marks)

3. Consider the sample data set below. These numbers represent math test marks.
75
82
62
53
67
75
82
90
47
a) Calculate the mean. (1 mark)
b) Calculate the standard deviation of the sample. Complete the chart below first and then use
the formula in the space below. (6 marks)
x
x - μ
(x - μ)^2
c) Calculate the quartiles Q1, Q2, and Q3. Then calculate the inter-quartile range (IQR). (4
marks)
d) Sketch a box-and-whisker plot below. (2 marks)
e) What is the z-score of a score of 81%? (3 marks)
f) Determine the 60th percentile of the data. Show your work. (3 marks)
4. A data point has a z-score of -0.656. If the sample had a mean of 63.1 and a standard deviation
of 6.71, determine the value of the data point. (3 marks)

Added by Gabriel F.

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