Analyzing Data Worksheet for Middle and High School {FREE} - Free Printable

Problem Analysis and Solution

The problem involves analyzing survey data about shoplifting among students. Here's a step-by-step breakdown of the solution for each part of the question:

---

#### Given Information:
- Total number of students surveyed: 905
- Sixty-five percent admitted to having shoplifted at least once.
- Twenty-two percent of those who shoplifted were caught.
- Forty-six percent did not know there was a legal penalty for shoplifting.

#### Survey Results:
1. Type of Store:
- Variety store: 35%
- Department store: 34%
- Drug store: 25%
- Discount store: 24%
- Furniture store: 2%

2. Reasons for Shoplifting:
- No Money: 50%
- Thrill: 28%
- The store can afford it: 22%
- Habit: 6%
- Trying to impress someone: 4%

---

Questions and Solutions:

#### a. Of those who participated in the survey, how many students at the school have shoplifted?

- Step 1: Calculate the number of students who admitted to shoplifting.
- Percentage of students who shoplifted: 65%
- Total students surveyed: 905
- Number of students who shoplifted = \( 65\% \times 905 \)
\[
\text{Number of students who shoplifted} = 0.65 \times 905 = 588.25
\]
- Round to the nearest whole number: 588 students.

Answer:
\[
\boxed{588}
\]

#### b. How many students were caught shoplifting?

- Step 1: Determine the percentage of shoplifters who were caught.
- Percentage of shoplifters caught: 22%
- Number of students who shoplifted: 588
- Number of students caught = \( 22\% \times 588 \)
\[
\text{Number of students caught} = 0.22 \times 588 = 129.36
\]
- Round to the nearest whole number: 129 students.

Answer:
\[
\boxed{129}
\]

#### c. How many students said they shoplifted because it was a thrill or a habit?

- Step 1: Identify the percentages for "Thrill" and "Habit."
- Thrill: 28%
- Habit: 6%
- Total percentage for "Thrill" or "Habit" = \( 28\% + 6\% = 34\% \)

- Step 2: Calculate the number of students who shoplifted for these reasons.
- Total students who shoplifted: 588
- Number of students who shoplifted for "Thrill" or "Habit" = \( 34\% \times 588 \)
\[
\text{Number of students} = 0.34 \times 588 = 200.52
\]
- Round to the nearest whole number: 201 students.

Answer:
\[
\boxed{201}
\]

#### d. How many students said they had stolen items from a department store or discount store?

- Step 1: Identify the percentages for "Department store" and "Discount store."
- Department store: 34%
- Discount store: 24%
- Total percentage for "Department store" or "Discount store" = \( 34\% + 24\% = 58\% \)

- Step 2: Calculate the number of students who shoplifted from these stores.
- Total students who shoplifted: 588
- Number of students who shoplifted from "Department store" or "Discount store" = \( 58\% \times 588 \)
\[
\text{Number of students} = 0.58 \times 588 = 341.04
\]
- Round to the nearest whole number: 341 students.

Answer:
\[
\boxed{341}
\]

#### e. How many students did not know there was a legal penalty for shoplifting?

- Step 1: Identify the percentage of students who did not know there was a legal penalty.
- Percentage: 46%

- Step 2: Calculate the number of students who did not know.
- Total students surveyed: 905
- Number of students who did not know = \( 46\% \times 905 \)
\[
\text{Number of students} = 0.46 \times 905 = 416.3
\]
- Round to the nearest whole number: 416 students.

Answer:
\[
\boxed{416}
\]

#### f. What methods do you think retailers should use to deter shoplifting?

This is an open-ended question, but here are some effective methods retailers could use to deter shoplifting:

1. Surveillance Cameras:
- Install visible security cameras throughout the store to monitor activity and deter potential shoplifters.

2. Security Personnel:
- Employ trained loss prevention officers or security guards to patrol the store and identify suspicious behavior.

3. Electronic Article Surveillance (EAS):
- Use EAS systems that trigger alarms when tagged items are removed without proper checkout.

4. Smart Shelving and Sensors:
- Implement smart shelves with sensors that detect when items are removed without scanning.

5. Customer Education:
- Post signs reminding customers of the legal consequences of shoplifting and the impact on prices.

6. Store Layout Optimization:
- Design store layouts to minimize blind spots and make it easier for staff to monitor high-risk areas.

7. Employee Training:
- Train employees to recognize common shoplifting behaviors and report suspicious activities.

8. Community Engagement:
- Work with local law enforcement to address shoplifting as a community issue and educate young people about the consequences.

9. Reward Programs:
- Offer rewards or discounts to encourage honest behavior and build customer loyalty.

10. Technology Integration:
- Use AI-powered systems to analyze video footage and detect anomalies in real-time.

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Final Answers:

\[
\boxed{588, 129, 201, 341, 416}
\]