### Consider a sample with data values of 10, 20, 12,17, and 16. Compute the range and interquartile range.

The question aims to find a range and quartile range. The range is the difference between the largest and the smallest value. In statistics, the scope of the data collection is the difference between the most significant and smallest values. The difference here is clear: the data set’s range is the result of high and […]

### Two stores sell watermelons. At the first store, the melons weigh an average of 22 pounds, with a standard deviation of 2.5 pounds. At the second store, the melons are smaller, with a mean of 18 pounds and a standard deviation of 2 pounds. You select a melon at random at each store.

Find the mean difference in weights of the melons? Find the standard deviation of the difference in weights? If a Normal model can be used to describe the difference in weights, find the probability that the melon you got at the first store is heavier? This question aims to find the mean difference and standard […]

### Let X be a normal random variable with mean 12 and variance 4. Find the value of c such that P(X>c)=0.10.

This question aims to find the value of $c$ given the probability distribution of a random variable $X$. In probability theory, a random variable is regarded as a real-valued function that is defined over a sample space of a random experiment. In other words, it describes the outcome of an experiment numerically. Random variables can […]

### Which of the following are possible examples of sampling distributions? (Select all that apply.)

the mean trout lengths based on samples of size $5$. the average SAT score of a sample of high school students. the average male height based on samples of size $30$. the heights of college students at a sampled university all mean trout lengths in a sampled lake. In this question, we need to choose […]

### Would you expect distributions of these variables to be uniform unimodal or bimodal? Symmetric or skewed? Explain why.

Ages of all the people at some league game. No. of siblings of all of your classmates Heart rates of college-age male students No. of times each face shows up in a hundred tosses of a die The aim of this question is to understand the different statistical properties of data. For example, whether the data […]