How do you find the interquartile range of 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.

What is the interquartile range of the data shown in the box plot?

In a boxplot, the interquartile range is represented by the width of the box (Q3 minus Q1). In the chart above, the interquartile range is equal to about 7 minus 3 or about 4.

Which Boxplot has the largest interquartile range?

7/13 to 7/15 has the largest maximum, the largest median, the largest range and largest interquartile range.

What does interquartile range tell you?

The interquartile range (IQR) is the distance between the first and third quartile marks. The IQR is a measurement of the variability about the median. More specifically, the IQR tells us the range of the middle half of the data.

What does the range in a box plot tell us?

The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g. Q3−Q1). Box plots are useful as they show outliers within a data set. An outlier is an observation that is numerically distant from the rest of the data.

How is the interquartile range determined?

The interquartile range ( IQR ), represents the middle 50 percent of a data set. To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

What does the interquartile range (IQR) tell us?

What is Interquartile Range(IQR)? The interquartile range of a data set tells us how the values of the data set are spread or bunched.IQR is the difference between the third quartile(75th percentile) and the first quartile(25th percentile). Other names for the interquartile range(IQR) are, Midspread. Middle 50%. H-spread.

What is are quartiles and the inter-quartile range?

Quartiles segment any distribution that’s ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.