Enter the data in L1. 2nd Y= (STAT PLOT) → 1:Plot1 → On; Type: the modified boxplot (shows outliers as dots); Xlist: L1; Freq: 1. Then ZOOM → 9:ZoomStat and TRACE to read the values.
1-Var Stats L1
Show steps
Order the data. 5, 8, 9, 10, 11, 12, 12, 13, 14, 30
Five-number summary. Min = 5, Q1 = 9, Median = 11.5, Q3 = 13, Max = 30.
IQR. 13 − 9 = 4, so 1.5 × IQR = 6.
Fences. Lower: 9 − 6 = 3. Upper: 13 + 6 = 19.
Outliers. 30 is outside the fences. The whiskers go to the smallest and largest values that are not outliers: 5 and 14.
About this calculator
When to use this
A boxplot shows the five-number summary at a glance: where the middle half of the data sits, how spread out it is, and whether any values are unusually far from the rest. It's a quick way to compare groups or spot skew.
How outliers are found
We use the 1.5 × IQR rule. Any value more than 1.5 IQRs below Q1 or above Q3 is an outlier. In a modified boxplot, outliers are drawn as separate dots and the whiskers stop at the most extreme values that are not outliers.
Reading the shape
If the median sits near the middle of the box and the whiskers are about the same length, the data are roughly symmetric. A longer right whisker (or right part of the box) means skewed right, and a longer left side means skewed left.