Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

listed below are prices in dollars for one night at different hotels in…

Question

listed below are prices in dollars for one night at different hotels in a certain region. find the range, variance, and standard deviation for the given sample data. include appropriate units in the results. how useful are the measures of variation for someone searching for a room? 201 183 134 83 237 261 266 220 the range of the sample data is 183.0 dollars. (round to one decimal place as needed.) the standard deviation of the sample data is 63.4 dollars. (round to one decimal place as needed.) the variance of the sample data is 4021.8 dollars² (round to one decimal place as needed.) how useful are the measures of variation for someone searching for a room? a. the measures of variation are not very useful because the values are nominal data that do not measure or count anything, so the resulting statistics are meaningless. b. the measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area. c. the measures of variation are very useful because a person does not want to buy a room where the variation is too high. d. the measures of variation are very useful because a person does not want to buy a room where the variation is too low

Explanation:

Step1: Recall the concept of data - type importance

Hotel room prices are numerical data, but for a person searching for a room, factors like low - price, location and accommodation quality are more crucial than the measure of variation.

Step2: Analyze each option

Option A is wrong as hotel room prices are not nominal data. Option C and D are incorrect because there is no such general preference of avoiding high or low variation in prices while searching for a room. Option B correctly states that low prices, location and good accommodations are more important than the amount of variation in the area.

Answer:

B. The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.