In the data set below, what are the lower quartile, the median, and the upper quartile?2345577779lower quartile = median = upper quartile =
Question
In the data set below, what are the lower quartile, the median, and the upper quartile?2345577779lower quartile = median = upper quartile =
Solution
The data set you provided is: 2, 3, 4, 5, 5, 7, 7, 7, 7, 9.
First, we need to sort the data set in ascending order, but it's already sorted.
Next, we find the median (middle value). Since there are 10 numbers, the median is the average of the 5th and 6th numbers, which are both 5. So, the median is 5.
The lower quartile (Q1) is the median of the lower half of the data. Since the median is the 5th and 6th numbers, the lower half of the data is 2, 3, 4, 5, 5. The median of this set is 4.
The upper quartile (Q3) is the median of the upper half of the data. The upper half of the data is 7, 7, 7, 7, 9. The median of this set is 7.
So, the lower quartile is 4, the median is 5, and the upper quartile is 7.
Similar Questions
Next, find Q1.Recall that the first quartile, Q1, is the median of the lower half of the data. That is, the median of the data located below the Q2 position.Consider the ordered list of data values. The median, Q2, which was determined in the last step, has been underlined for clarity.3, 6, 6, 7, 8, 8, 9, 10, 11There are nine values in the whole data set, but there are only values to the left of the underlined median. The first quartile, Q1, will be equal to the median of these values.Since the lower half of the data has an even number of data values, we will now use the rule to find the median of an even number of data values.median = sum of middle two values2The middle two values of the lower half of the data set are 6 and .Now, calculate the first quartile. Q1.Q1 = 6 + 2 = 2 =
Now, find the median.Recall that the median is the central value of an ordered distribution. Note that the median is also the second quartile, Q2.For an number of data values, as we have here, the median is the middle data value of the ordered data set.
Find the lower quartile of the data set {42, 49, 91, 42, 94, 73, 93, 67, 55, 54, 78, 82}.Group of answer choices51.54986.554
Which of the statements below are true? Select all that apply.A) The minimum value is 52B) The 1st Quartile value (Q1) is 56.5C) The median is 65D) The maximum value is 72
1, 2, 2, 3, 5, 5, 7, 8, 9, 9What is the lower quartile for this data?
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