Question

The data show the number of points the winning team scored in the Rose Bowl. Find the mean and modal class for the data. Class$\quad$ Frequency $\begin{array}{lc}{14-20} & {10} \\ {21-27} & {11} \\ {28-34} & {6} \\ {35-41} & {8} \\ {42-48} & {4} \\ {49-55} & {1}\end{array}$

Name: Problem 15, Chapter 3: Elementary Statistics a Step by Step Approach
Uploaded: 2021-02-26T04:07:35-08:00
Duration: 3 min 57 s
Channel: Harsh Gadhiya
Description: The data show the number of points the winning team scored in the Rose Bowl. Find the mean and modal class for the data. Class Frequency 14-20 10 21-27 11 28-34 6 35-41 8 42-48 4 49-55 1

   The data show the number of points the winning team scored in the Rose Bowl. Find the mean and modal class for the data.

Class$\quad$ Frequency
$\begin{array}{lc}{14-20} & {10} \\ {21-27} & {11} \\ {28-34} & {6} \\ {35-41} & {8} \\ {42-48} & {4} \\ {49-55} & {1}\end{array}$

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Chapter 3, Problem 15

Instant Answer

Solved by Expert Harsh Gadhiya

02/26/2021

Step 1

The modal class is the class with the highest frequency. Looking at the data, we can see that the class with the highest frequency is 21-27 with a frequency of 11. So, the modal class is 21-27. Show more…

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The data show the number of points the winning team scored in the Rose Bowl. Find the mean and modal class for the data. Class$\quad$ Frequency $\begin{array}{lc}{14-20} & {10} \\ {21-27} & {11} \\ {28-34} & {6} \\ {35-41} & {8} \\ {42-48} & {4} \\ {49-55} & {1}\end{array}$

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Key Concepts

Modal Class

The modal class is the class interval within a frequency distribution that contains the highest frequency. It represents the range of values that occur most frequently in the dataset, offering insight into the most common occurrence in the data.

Mean Calculation for Grouped Data

When data is presented in grouped intervals, the mean is calculated by using the midpoint of each class as a representative value. Each midpoint is multiplied by its corresponding frequency, these products are summed, and the total is divided by the overall frequency. This technique provides an estimate of the average value within the grouped data.

Frequency Distribution

A frequency distribution is a summary that shows the number of observations within a set of data for each defined interval, or class. It organizes raw data into groups, making it easier to understand the distribution and patterns, especially when dealing with large datasets or ranges of values.

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