3. use the following histograms to answer each question\n\nhistogram a\n\nhistogram b\n\ndata values\n\ndata…

3. use the following histograms to answer each question\n\nhistogram a\n\nhistogram b\n\ndata values\n\ndata values\n\na) which distribution had collected more data? show how you know.\n\nb) which distribution has a larger range? show or explain how you know.\n\nc) which distribution is more likely to have a shape described as \skewed right?\

3. use the following histograms to answer each question\n\nhistogram a\n\nhistogram b\n\ndata values\n\ndata values\n\na) which distribution had collected more data? show how you know.\n\nb) which distribution has a larger range? show or explain how you know.\n\nc) which distribution is more likely to have a shape described as \skewed right?\

Answer

Explanation:

Step1: Calculate total frequency for Histogram A

Sum up frequencies: $1 + 1+3 + 4+6+5+7+6 = 33$

Step2: Calculate total frequency for Histogram B

Sum up frequencies: $2+4 + 8+5+2+1+1+1 = 24$ Since $33>24$, Histogram A has more data.

Step3: Find range for Histogram A

Range = Max - Min. Max is 50, Min is 0, so range is $50 - 0=50$

Step4: Find range for Histogram B

Max is 50, Min is 0, so range is $50 - 0 = 50$. Both have the same range.

Step5: Identify skewed - right distribution

In Histogram B, the tail extends to the right (frequencies decrease gradually for larger data - values), so it is skewed right.

Answer:

a) Histogram A, because its total frequency (33) is greater than Histogram B's (24). b) Both have the same range of 50 (as maximum value is 50 and minimum is 0 for both). c) Histogram B, as its tail extends to the right.