Question

What do we mean when we say that a histogram is skewed to the left? To the right? What is a bimodal histogram? Discuss the following statement: “A bimodal histogram usually results if we draw a sample from two populations at once.” Suppose you took a sample of weights of college football players and with this sample you included the weights of cheerleaders. Do you think a histogram made from the combined weights would be bimodal? Explain.

write in your own words

Answer 1

Histogram skewed to the left means most of the data values are located on the right hand side of histogram and very few data values are present on the left hand side

Histogram skewed to the right means most of the data values are located on the left hand side of histogram and very few data values are present on the right hand side

Bimodal histogram is a histogram which has two peaks or modes, i.e. there are two tops in a single histogram, this is mainly due to data selected, which is taken from two different population.

Suppose you took a sample of weights of college football players and with this sample you included the weights of cheerleaders

Yes, the histogram made from the combined weights would be binomial because there are two populations involved in the historam data and both population will have different descriptive statistics, like mean, median and mode.

So, there are possibilities of having two different modes, one for football player weights and other for cheerleaders.

Therefore, histogram made from the combined weights would be bimodal.