Question

A frequency table for a set of 25 quiz grades is given below. What is the mean of the data? $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline \text { Quiz Grade } & {10} & {9} & {8} & {7} & {6} & {5} & {4} & {3} & {2} & {1} \\ \hline \text { Number of Students } & {3} & {3} & {5} & {6} & {4} & {3} & {1} & {0} & {0} & {0} \\ \hline\end{array}$$ (A) 7.00 (B) 7.28 (C) 7.35 (D) 7.60 (E) 7.86

Name: Problem 46, Chapter 9: Precalculus: Graphical, Numerical, Algebraic
Uploaded: 2019-07-15T01:10:26-08:00
Duration: 1 min 24 s
Channel: Amrita Bhasin
Description: A frequency table for a set of 25 quiz grades is given below. What is the mean of the data? Quiz Grade 10 9 8 7 6 5 4 3 2 1 Number of Students 3 3 5 6 4 3 1 0 0 0 (A) 7.00 (B) 7.28 (C) 7.35 (D) 7.60 (E) 7.86

   A frequency table for a set of 25 quiz grades is given below. What is the mean of the data?
$$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline \text { Quiz Grade } & {10} & {9} & {8} & {7} & {6} & {5} & {4} & {3} & {2} & {1} \\ \hline \text { Number of Students } & {3} & {3} & {5} & {6} & {4} & {3} & {1} & {0} & {0} & {0} \\ \hline\end{array}$$
(A) 7.00
(B) 7.28
(C) 7.35
(D) 7.60
(E) 7.86

Precalculus: Graphical, Numerical, Algebraic

Franklin D.… 8th Edition

Chapter 9, Problem 46

Instant Answer

Solved by Expert Amrita Bhasin

07/15/2019

Step 1

We do this by multiplying each quiz grade by the number of students who received that grade. This gives us: $$3 \times 10 + 3 \times 9 + 5 \times 8 + 6 \times 7 + 4 \times 6 + 3 \times 5 + 1 \times 4 = 182$$ Show more…

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A frequency table for a set of 25 quiz grades is given below. What is the mean of the data? $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|}\hline \text { Quiz Grade } & {10} & {9} & {8} & {7} & {6} & {5} & {4} & {3} & {2} & {1} \\ \hline \text { Number of Students } & {3} & {3} & {5} & {6} & {4} & {3} & {1} & {0} & {0} & {0} \\ \hline\end{array}$$ (A) 7.00 (B) 7.28 (C) 7.35 (D) 7.60 (E) 7.86

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Key Concepts

Frequency Table

A frequency table is a method for organizing and summarizing data by listing each value or range of values along with their corresponding frequencies. It provides a clear picture of the distribution of the data, which is essential for further statistical analysis like calculating averages, medians, or modes.

Arithmetic Mean

The arithmetic mean is a measure of central tendency that represents the sum of all values divided by the number of observations. It provides a central value that summarizes the overall data set and is particularly useful when comparing different data sets.

Weighted Average

A weighted average is a technique used to calculate the mean when each data point contributes differently, often due to varying frequencies. In the context of a frequency table, each value is multiplied by its frequency, and these products are summed and then divided by the total number of observations to obtain the overall mean.

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