A sample of 28 time shares in the Orlando, Florida, area revealed the following daily charges for a one-bedroom suite. For conve
nience the data are ordered from smallest to largest. Construct a box plot to represent the data. Comment on the distribution. Be sure to identify the first and third quartiles and the median. $116 $121 $157 $192 $207 $209 $209 229 232 236 236 239 243 246 260 264 276 281 283 289 296 307 309 312 317 324 341 353
2 answers:
Answer: Median = 253, lower Quartile = 219, Upper quartile = 301.5
Explanation:
Minimum = 116
Mean = 253 = mean is the average daily charge. It is calculated by taking the total sum Of charges and divide it by the number of days.
Q1 = 219 = lower Quartile. Lower quartile represents the lower 25% of data
Q2 = 253= Median. Median represents the middle score/number. Median is used as a measure of central tendency of data.
Q3 = 301.5=Upper quartile. Upper Quartile represents 75% of data.
Maximum= 353
The box and whisker graph is a graph that groups data into Quartiles.
The median is $253, that daily charge of $253 for the Bedroom suite Divides the data (Charges per day) into two halves namely the lower half and the upper half, $253 charge is in the middle.
The median is $253, The Lower quartile is $219 and the upper quartile 301.5, these values are painting a clear picture which shows us that that 75% of the Daily Charges for the Bedroom suite were about $219. The Box and Whisker Graph depicts that in most days the Charges were above $219 and higher, Hence the lower whisker is much longer than the upper whisker.
The mean charge for one bedroom suite is equal to the median. The mean is also $253 meaning on average the cost of occupying the one bedroom suite was $253, with the Mean of $253 we can conclude that most daily charges for the bedroom suite are distributed around the mean of $253 hence the box and whisker graph is skewed towards the right side (the upper side) because with median of $253 already 50% of the daily charges are above $253
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