Answered: (a) One class is the least frequent.…

(a) One class is the least frequent. How many stores are in this class? (b) How many stores sold 42 or more tablets? (c) What is the class width?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

**Tech4U Tablet Sales Analysis**

Tech4U is a technology chain that often offers really great deals on the newest devices. Over the last month, the corporate office has been tracking the number of new tablets sold at each Tech4U store. The histogram below summarizes the data. Use the histogram to answer each of the questions.

**Histogram Description**

- **Title**: Frequency of Tablets Sold at Tech4U Stores
- **Y-axis (Frequency)**: Number of stores (0 to 10)
- **X-axis (Number of tablets sold)**:
- 9 to 19 tablets
- 20 to 30 tablets
- 31 to 41 tablets
- 42 to 52 tablets
- 53 to 63 tablets

**Histogram Data Interpretation**

1. **9 to 19 tablets sold**: 5 stores
2. **20 to 30 tablets sold**: 1 store
3. **31 to 41 tablets sold**: 8 stores
4. **42 to 52 tablets sold**: 3 stores
5. **53 to 63 tablets sold**: 6 stores

**Questions**

(a) One class is the least frequent. How many stores are in this class?

(b) How many stores sold 42 or more tablets?

(c) What is the class width?

**Answers**

(a) The class with the least frequency is 20 to 30 tablets sold, with only 1 store in this class.

(b) The number of stores that sold 42 or more tablets can be found by adding the frequencies of the last two categories:
- 42 to 52 tablets sold: 3 stores
- 53 to 63 tablets sold: 6 stores
Hence, the total number of stores is $3 + 6 = 9$.

(c) The class width is determined by subtracting the lower boundary of a class from the upper boundary of the same class. For example:
- For the 9 to 19 tablets sold class: $19 - 9 = 10$
Therefore, the class width is 10.

This analysis helps in understanding the distribution of tablet sales across different stores and can guide strategies aimed at sales improvement.

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$Fundamental Counting Principle$

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