Here are yesterday's high temperatures (in degrees Fahrenheit) in 12 U.S. cities. 53,54,57,59,60,61,61,72,72,73,80,83 Notice that the temperatures are ordered from least to greatest. Give the median, lower quartile, and upper quartile for the data set. (a) Median: (b) Lower quartile: (c) Upper quartile:

Question

Here are yesterday's high temperatures (in degrees Fahrenheit) in 12 U.S. cities.  53,54,57,59,60,61,61,72,72,73,80,83 Notice that the temperatures are ordered from least to greatest. Give the median, lower quartile, and upper quartile for the data set. (a) Median: (b) Lower quartile: (c) Upper quartile:

Bytelearn · Accepted Answer

Identify the median: Identify the median of the data set. The data set is already ordered from least to greatest: 53, 54, 57, 59, 60, 61, 61, 72, 72, 73, 80, 83. Since there are 12 numbers, the median will be the average of the 6th and 7th numbers. 6th number: 61 7th number: 61 Average: (61 + 61) / 2 = 61 Median: 61Identify lower quartile data: Identify the data set for the lower quartile. For the lower quartile, consider the first half of the data set, excluding the median if it's a single number. Since we have an even number of observations, we will take the first 6 numbers: 53, 54, 57, 59, 60, 61. Lower quartile data: 53, 54, 57, 59, 60, 61Find lower quartile value: Find the value of the lower quartile. Lower quartile data: 53, 54, 57, 59, 60, 61 For an even number of observations, the lower quartile is the average of the 3rd and 4th numbers. 3rd number: 57 4th number: 59 Average: (57 + 59) / 2 = 58 Lower quartile: 58Identify upper quartile data: Identify the data set for the upper quartile. For the upper quartile, consider the second half of the data set, excluding the median if it's a single number. Since we have an even number of observations, we will take the last 6 numbers: 61, 72, 72, 73, 80, 83. Upper quartile data: 61, 72, 72, 73, 80, 83Find upper quartile value: Find the value of the upper quartile. Upper quartile data: 61, 72, 72, 73, 80, 83 For an even number of observations, the upper quartile is the average of the 3rd and 4th numbers. 3rd number: 72 4th number: 73 Average: (72 + 73) / 2 = 72.5 Upper quartile: 72.5

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