The Following Data Represent the Scores of 50 Students on a Statistics

question 183

Short Answer

The following data represent the scores of 50 students on a statistics exam. The mean score is 80.02, and the standard deviation is 11.9. $$\begin{array} { l l l l l l l l l l } 39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98\end{array}$$ Find the z-scores for the highest and lowest exam scores.

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Definitions:

Simple Spending Multiplier

A formula used in economics to determine the impact of a change in autonomous spending on the aggregate output, highlighting the amplification of initial spending through the economy.

Marginal Propensity

The ratio of change in an economic variable (such as consumption or saving) in response to a change in another (such as income), indicating the responsiveness of the variable.

Price Level

The average of current prices across the entire spectrum of goods and services produced in the economy, often used to measure inflation.

Aggregate Expenditure Line

A graphical representation that shows the total planned expenditure at various levels of national income.