Question

How can you describe the overlap of two data distributions using words? How can you describe the overlap numerically?

Answer 1

Step 1: In the first data distribution, Female students and male students maximum sleep for $4$ hours. Female students sleeping hours are maximum from $5$ to $9$ hours and male students sleeping hours are maximum from $6$ to $8.5$ hours.

Step 2: In the second distribution, Female student’s height starts from $57$ to $63$ inches. Male student’s height starts from $59$ to $65$ inches. Here, the data distribution gets overlapping from $59$ to $63$ inches.

Step 3: Maximum height of male students is $62$ inches whereas female students is $60$ inches.

Final Answer: The data distribution hours for sleeping for both female and male students is commonly same and in the heights both of them are completely different as there is no common height point in them as same. The female students and male students data is overlapping as they are having same common sleeping hours in them from $8.5$ to $10.5$ hours. Here, the data distribution gets overlapping from $59$ to $63$ inches.