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- Find the z-score z or the value x, as each part asks.z when x = 74,\ \mu = 60,\ \sigma = 8x when z = -1.4,\ \mu = 80,\ \sigma = 5z when x = 6.7,\ \bar{x} = 4.7,\ s = 0.8x when z = 2.6,\ \mu = 6.2,\ \sigma = 0.5z when x = 0.88,\ \mu = 1,\ \sigma = 0.06
- Priya and Diego sat the same chemistry and history tests as the rest of their class.
- A public library counted its visitors on a sample of days.
- A sheep farm weighs every lamb at birth.
- A pizza shop times its deliveries, from the order to the door.
- Leah's class flew paper airplanes.
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z-scores and the empirical rule: the lesson ›More Chapter 1 worksheets: Exploring one-variable data
- 1.1Types of data: categorical, numerical, discrete, continuous
- 1.2Making a histogram and choosing the bin width
- 1.3Describing a distribution
- 1.4Quartiles and the five number summary
- 1.5Computing a standard deviation, sample and population
- 1.6Interpreting a standard deviation
- 1.7Resistant and non resistant measures
- 1.8Box plots that show outliers
- 1.9Comparing two distributions
- 1.10Shifting and rescaling a data set
- 1.11z-scores and the empirical rule
- 1.12The normal distribution
- 1.13Normal calculations: areas and percentiles
- 1.14Cumulative frequency graphs and percentiles