Consider the Frequency Distribution Below, Which Has Single Values as Classes

question 30

Essay

Consider the frequency distribution below, which has single values as classes: $$\begin{array} { c | c } \text { Value } & \text { Frequency } \\\hline 10 & 1 \\11 & 3 \\12 & 7 \\13 & 18 \\14 & 10 \\15 & 4 \\16 & 2 \\17 & 7 \\18 & 16 \\19 & 10 \\20 & 6 \\21 & 2\end{array}$$ Construct a new frequency distribution for this data with 4 classes. Now, construct another frequency distribution for this data with 6 classes. Suppose that you construct a histogram corresponding to the original data and histograms corresponding to each of the new frequency distributions. Describe the shapes of the three histograms. Does the histogram with six classes capture the distribution of the data? Does the histogram with four classes capture the distribution of the data?

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Definitions:

Calculator

An electronic or manual device used for calculating numbers, functions, and mathematical expressions.

Exponents

Exponents indicate how many times a number, the base, is multiplied by itself.

Rational Exponents

Exponents expressed as fractions, representing powers and roots of a base number, and allowing for more complex relationships in algebra.

Expression

A combination of numbers, variables, operators, and sometimes parentheses that represents a quantity or a relationship.