A voluntary response sample of 7000 adult heights is collected. If the population of adult heights follows a normal distribution, will the histogram of the sample be bell-shaped? Give reason.

Vehicle Speeds on a Highway: Utilizing the following frequency distribution data, construct a histogram to answer the given question: Does the histogram appear to be skewed? If so, identify the type of skewness.

What is the approximate shape of the distribution in this histogram?

The data below shows the number of study hours and the quiz scores of $10$ students.

Hours of study: $1$, $2$, $1.5$, $3$, $2.5$, $4$, $3.5$, $5$, $4.5$, $6$

Quiz score: $50$, $58$, $54$, $66$, $63$, $72$, $69$, $78$, $75$, $82$

Based on the data, which of the following best describes the relationship between hours of study and quiz score?

The histogram below shows the number of vacation days used by employees in a company over the past year. The letters X, Y, and Z are marked at various points on the horizontal axis. Describe the shape of the data distribution and determine which letter (X, Y, or Z) corresponds to the mean, median, and mode.