standard_description: Summarize numerical data sets in relation to their context, such as by:
- Reporting the number of observations.
- Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
- Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
- Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
problem_activity: Problem 1
Below is a normal distribution that shows the height of 8-year-old boys in inches. The relative frequency of each height is shown along the
$${y-}$$
axis, and the height, in inches, is shown along the
$${x-}$$
axis.
The mean is 50 and the standard deviation is 2.
[IMG]
Estimate the percent of 8-year-old boys chosen randomly who will be shorter than 53 inches.
Problem 2
The mean combined score for last year’s SAT was 1083 with a standard deviation of 193. The mean and the standard deviation are based on students who took the SAT across the nation.
If you took the SAT and scored a combined score of 1100, what percent of students who took the SAT scored below you?


aligns: no