Whille comparing two distributions, the reason why it is best

Nannie Mack 2021-09-22 Answered
Whille comparing two distributions, the reason why it is best to use relative frequency histograms rather than frequency histogram.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

pattererX
Answered 2021-09-23 Author has 10603 answers
Explanation:
When there are different number of observations in two histograms, the frequency of histogram-1 class interval might be high when compared to frequency of histogram-2 class interval but it might be because of more number of observations in histogram-1.
For example
There are 500 observations is first histogram and 50 is frequency of one class interval.
There are 100 observations is second histogram and 30 is frequency of same class interval.
Here if we compare frequency we say frequency of histogram-1 is high that of frequency of histogram-2 in that class interval. But in reality only 10% of data fall in that class interval in histogram-1 and 30% of data fall in that class interval in histogram-2
Hence when comparing two histograms, it is best to use relative frequency histograms rather than frequency histograms when the data distributions have different number of observations.
Option d is correct.
Have a similar question?
Ask An Expert
38
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-09-24
ACTIVITY G: Continuous Probability Distributions
1. The data records the length of stay of engineering students in the university. We will assume a uniform distribution between 5 to 7 years, inclusive. What is the probability that a randomly chosen engineering student will stay at most 6 years?
asked 2021-10-09
Discuss the co efficient of variation also writedown why we use coefficient of variance
asked 2021-11-21
a. Identify the conditions would it be reasonable to use z-scores to compare the standings of the student on the two tests relative to the other students in the graduating class.
Given info:
The mean SAT math score is 528 with a standard deviation of 105. The mean SAT verbal score is 475 with standard deviation is 98. A student in the graduating class scored 740 on SAT math and 715 on SAT verbal.
b. To identify the test did the student do better.
asked 2021-10-04
Explain TWO strengths in using mean as a measure of central tendency.
asked 2021-09-21
Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article “Body Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania” (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes?
c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?
asked 2021-06-26
A back-to-back stemplot is particularly useful for (A) identifying outliers. (B) comparing two data distributions. (C) merging two sets of data. (D) graphing home runs. (E) distinguishing stems from leaves.
asked 2021-05-21
When comparing two sets of data values, what is the advantage of using relative frequency distributions instead of frequency distributions?

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question
...