In the data set below, what are the lower quartile, the median, and the upper quartile? 1 2 2 2 2 4 4 5 7 7 lower quartile = _____ median = _____ upper quartile = _____

Question

Bytelearn · Accepted Answer

Question Prompt: Question prompt: Determine the lower quartile, median, and upper quartile of the given data set.Arrange Data Set: Arrange the data set in ascending order, if it is not already. The given data set is already in ascending order: 1, 2, 2, 2, 2, 4, 4, 5, 7, 7.Find Median: Find the median of the data set. Since there are 10 numbers, the median will be the average of the 5th and 6th numbers. The 5th and 6th numbers are both 2 and 4, respectively. Median = (2 + 4) / 2 = 6 / 2 = 3Identify Lower Quartile: 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 is part of the data. Since we have an even number of data points, we will not exclude the median. The first half is 1, 2, 2, 2, 2.Find Lower Quartile: Find the value of the lower quartile. Since there are 5 numbers in the first half, the lower quartile will be the median of these 5 numbers. The middle number is the 3rd number, which is 2. Lower quartile = 2Identify Upper Quartile: 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 is part of the data. Since we have an even number of data points, we will not exclude the median. The second half is 4, 4, 5, 7, 7.Find Upper Quartile: Find the value of the upper quartile. Since there are 5 numbers in the second half, the upper quartile will be the median of these 5 numbers. The middle number is the 3rd number, which is 5. Upper quartile = 5

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1$ $2$ $2$ $2$ $2$ $4$ $4$ $5$ $7$ $7$ $\newline$ lower quartile $=$ $\newline$ median $=$ $\newline$ upper quartile $=$ __

Full solution

More problems from Calculate quartiles and interquartile range

Related topics

In the data set below, what are the lower quartile, the median, and the upper quartile?\newline111 222 222 222 222 444 444 555 777 777\newlinelower quartile === ______\newlinemedian === ______\newlineupper quartile === ______

In the data set below, what are the lower quartile, the median, and the upper quartile? $\newline$ $1$ $2$ $2$ $2$ $2$ $4$ $4$ $5$ $7$ $7$ $\newline$ lower quartile $=$ $\newline$ median $=$ $\newline$ upper quartile $=$ __