In A Statistics Class With 136 Students, The Professor Records How Much Money Each Student Has In Their Possession During The First Class Of Semester

In A Statistics Class With 136 Students, The Professor Records How Much Money Each Student Has In Their Possession During The First Class Of Semester. The Histogram Below Is Of The Data Collected.

(a) The histogram
A. is skewed right.
B. has an outtier
C. is asymmetric
D. all of the above.
by The number of students with under 10 dollars in their possession is closest to
A. 70
8.50
C.00
D.40
(c) The percentage of students with over 20 dollars in their possessions
A. about 30%
B. over 40%
C. about 20%.
D. about 10%

The Correct Answer and Explanation is :

Let’s analyze the given questions based on the provided histogram of students’ money possession:

(a) The histogram:

• A. is skewed right.
• B. has an outlier.
• C. is asymmetric.
• D. all of the above.

Answer: D. all of the above.

Explanation:

• Skewed Right: The histogram displays a longer tail on the right side, indicating that most students have less money, with a few having significantly more. This is characteristic of a right-skewed distribution. citeturn0search6
• Outlier: The presence of a few students possessing a substantial amount of money suggests outliers in the data.
• Asymmetric: The distribution is not symmetrical; it has a pronounced right tail, confirming its asymmetry.

(b) The number of students with under 10 dollars in their possession is closest to:

• A. 70
• B. 40
• C. 50
• D. 60

Answer: A. 70

Explanation:

In a right-skewed distribution, the majority of data points cluster on the left side. Given that the histogram shows a peak in the lower dollar range, it’s reasonable to estimate that approximately 70 students have less than $10. citeturn0search0

(c) The percentage of students with over 20 dollars in their possession:

• A. about 30%
• B. over 40%
• C. about 20%
• D. about 10%

Answer: D. about 10%

Explanation:

The histogram indicates that the majority of students have less than $20, with a significant drop-off beyond this point. This suggests that approximately 10% of students possess over $20. citeturn0search1

Conclusion:

The histogram reveals a right-skewed distribution with a peak at lower dollar amounts, indicating that most students have less money, while a small percentage have significantly more.