Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little League game. b) Number of siblings of people in your class. c) Pulse rates of college-age males. d) Number of times each face of a die shows in 100 tosses.

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Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why.  a) Ages of people at a Little League game.  b) Number of siblings of people in your class.  c) Pulse rates of college-age males.  d) Number of times each face of a die shows in 100 tosses.

Caren · Accepted Answer

a) Bimodal and skewed right. There will be two distinct groups of Little League players and spectators. The spectators

Jeffrey Jordon · Accepted Answer

A uniform distribution always takes on the same value, a unimodal distirbution has one peak, while the bimodal distribution has two peaks.  A symmetric distribution has the most values in the middle, while a skewed distribution will have the most value to the left or the right.  a) Uniform and Symmetric, because most will be the same age.  b) Unimodal and skewed, because most will have 0,1 or 2 siblings, but some might have more.  c) Unimodal and symmetric, because most of the pulse rates will take on about the same average value, some will have a lower pulse rate and some a higher pulse rate.  d) Uniform and Symmetric, because the number of time each face shows should be about the same.

nick1337 · Accepted Answer

a) For the ages of people at a Little League game, we would expect the distribution to be unimodal and skewed. Since Little League games are typically designed for children within a specific age range, the majority of participants will likely fall within that range, resulting in a peak (unimodal). However, as the age increases beyond the typical range, the number of participants will decrease, leading to a skewness towards the younger ages. b) The distribution of the number of siblings of people in your class would likely be unimodal and skewed. Most individuals will likely have a small number of siblings or none at all, resulting in a peak at a lower value (unimodal). As the number of siblings increases, the frequency of individuals with higher numbers of siblings will decrease, leading to a skewness towards smaller values. c) The pulse rates of college-age males are expected to follow a unimodal and symmetric distribution. In a healthy population, pulse rates tend to cluster around a central value (unimodal) and exhibit no systematic bias towards higher or lower values (symmetric). d) The distribution of the number of times each face of a die shows in 100 tosses would be expected to be approximately uniform. If the die is fair and unbiased, each face has an equal probability of showing up, resulting in a relatively equal frequency for each face (uniform).

RizerMix · Accepted Answer

Step a) Ages of people at a Little League game:The distribution of ages at a Little League game would likely be skewed and unimodal. This is because most players in a Little League game fall within a specific age range, creating a peak in the distribution (unimodal). However, as the ages move further away from the peak, the number of people in each age group decreases, resulting in a skewed distribution.Step b) Number of siblings of people in your class:The distribution of the number of siblings in a class could vary, but it would typically be unimodal and skewed. Most people in a class would likely have a small number of siblings, such as 0, 1, or 2, resulting in a peak (unimodal). As the number of siblings increases, the frequency of individuals having higher numbers of siblings decreases, leading to a skewed distribution.Step c) Pulse rates of college-age males:The distribution of pulse rates among college-age males would be expected to be approximately normally distributed (unimodal and symmetric). In a large sample of college-age males, the pulse rates are likely to cluster around a central value, forming a bell-shaped curve (unimodal and symmetric).Step d) Number of times each face of a die shows in 100 tosses:The distribution of the number of times each face of a die shows in 100 tosses would be expected to be approximately uniform. Since a fair die has equal probabilities for each face, if we toss it 100 times, we would expect each face to appear roughly the same number of times, resulting in a uniform distribution.

Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little

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