[CN, PS, T, V]
| (a) |
Identify situations relevant to self, family, or community in which standard deviation and the normal distribution are used and explain the meaning and relevance of each. |
| (b) |
Explain the meaning and purpose of the properties of a normal curve, including mean, median, mode, standard deviation, symmetry, and area under the curve. |
| (c) |
Calculate, using technology, the population standard deviation of a data set. |
| (d) |
Critique the statement “Every set of data will correspond to a normal distribution”. |
| (e) |
Analyze a data set to determine if it approximates a normal distribution. |
| (f) |
Compare the properties of two or more normally distributed data sets and explain what the comparison tells you about the situations that the sets represent. |
| (g) |
Explain, using examples that represent multiple perspectives, the application of standard deviation for making decisions in situations such as warranties, insurance, or opinion polls. |
| (h) |
Solve situational questions that involve the interpretation of standard deviations to make decisions. |
| (i) |
Determine, with or without technology, and explain the meaning of the z-score for a given value in a normally distributed data set. |
| (j) |
Pose and solve situational questions relevant to self, family, or community that involve normal distributions and z-scores. |
