Eac h of a sample of 80 residents selected from a small town is asked how much m

Question

Eac h of a sample of 80 residents selected from a small town is asked how much money he or she spent last week on state lottery tickets. 60 of the residents responded with $0. The average expenditure for the remaining residents was $25. The largest expenditure was S180. Step 1: Step 2: Step 3: (2 points) What is the range of the data (in dollars)? (2 points) (2 points) (2 points) What is the median of the data? What is the mode of the data? Step 4: What is the average of the 80 data points? (Round your answer to 2 decimals). (2 points) Step 5: What fraction of the sample did not purchase any lottery tickets? (Round your answer to 2 decimals).

Explanation / Answer

1. Range of the data = Max expenditure - Min expenditure = $180 - $0 = $180

2. Number of terms = 80 (Even)

So,

Median of data = Average of 40th and 41st term = ($0 + $0)/2 = $0

3. Mode = Most frequent expenditure = $0

4. Average of 80 data points = (60*$0 + 20*$25)/(60 + 20) = $500/80 = $6.25

5. Fraction of sample that did not purchase any lottery ticket

= Fraction of sample having expenditure $0

= 60/80

= 3/4

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.