What is the formula for Q1 and Q3?
Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4) Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4) Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)
How do you find the range in a stem and leaf diagram?
The greatest number is the last stem and the last leaf on the chart. In this case, the largest number is 55. To find the range, subtract the smallest number from the largest number. This difference will give you the range.
How do you find the interquartile range on a box plot?
The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 – 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.
How do you find the interquartile range for ungrouped data?
To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
What is the interquartile range of 1 3 5 5 8 9?
84. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 Stop here! 99. 1 3 5 5 5 8 9 2 0 1 1 3 3 2 4 7 4 2 6 5 1 7 Lower Quartile: 16.5 So, the Interquartile Range is 39.5 – 16.5 = 23 Our Final Answer!
What is the LQ and UQ of the stem and leaf plot?
The LQ and UQ are marked by circles. The LQ is 15 while the UQ is 31. It’s hard to get a visualized measure of the variation when using the stem-and-leaf plot.
How do I set up a stem-and-leaf plot?
To set up a stem-and-leaf plot we follow some simple steps. First we have a set of data. This could for instance be the results from a math test taken by a group of students at the Mathplanet School. We begin by finding the lowest and the greatest number in the data set.
How do you find the LQ and UQ on a plot?
You can use a steam-and-leaf plot to find and display the median, the LQ and the UQ. Here is the stem-and-leaf plot that we made earlier in this section The median is at (22 + 22)/2 = 22 and is marked by a box. The LQ and UQ are marked by circles. The LQ is 15 while the UQ is 31.