Question

1. this table shows the number of pediatric patients during 1 - week at two different hospitals. use the data in the table to determine and compare the range, mean, median and mode of these two sets of data. drag the hospital name on the left to a correct description of its data. each hospital may have more than one correct description. choices: hospital a, hospital b answers: this hospital has a larger range than the other. this hospital has a mean > 25. this hospital has a mode. this hospital has a larger mean than the other. this hospital has a larger median than the other.

Explanation:

Step1: Calculate the range for Hospital A

Range = Max - Min. For Hospital A, data is 36, 25, 31, 22, 31, 26, 31. Max = 36, Min = 22. Range of Hospital A=$36 - 22=14$.

Step2: Calculate the range for Hospital B

For Hospital B, data is 27, 35, 16, 21, 17, 39, 33. Max = 39, Min = 16. Range of Hospital B=$39 - 16 = 23$.

Step3: Calculate the mean for Hospital A

Mean=$\frac{36 + 25+31+22+31+26+31}{7}=\frac{202}{7}\approx28.86$.

Step4: Calculate the mean for Hospital B

Mean=$\frac{27+35+16+21+17+39+33}{7}=\frac{188}{7}\approx26.86$.

Step5: Calculate the median for Hospital A

Arrange data in ascending - order: 22, 25, 26, 31, 31, 31, 36. Median = 31.

Step6: Calculate the median for Hospital B

Arrange data in ascending - order: 16, 17, 21, 27, 33, 35, 39. Median = 27.

Step7: Calculate the mode for Hospital A

Mode is the most frequent number. Mode of Hospital A = 31.

Step8: Calculate the mode for Hospital B

There is no number that appears more frequently than others, so no mode or we can say the data is multimodal with no clear single - mode.

Answer:

This hospital has a larger range than the other. (Hospital B)