Calculate quartiles-of-3_7_8_12_15_18_21_25

Calculate mean, median, mode, standard deviation, variance and more — step by step.

Data

Answer

Q1=7.5, Q2=13.5, Q3=19.5, IQR=12

To find the quartiles of 8 values, follow the step-by-step solution below.

Step 1 — Sort the data

-3, 7, 8, 12, 15, 18, 21, 25

Step 2 — Find Q2 (the median)

Q2 splits the data into two equal halves:

Q2 = 13.5

Step 3 — Find Q1 and Q3

Q1 is the median of the lower half (4 values): 7.5

Q3 is the median of the upper half (4 values): 19.5

Step 4 — Calculate the interquartile range (IQR)

IQR = Q3 − Q1 = 19.5 − 7.5 = 12

Outlier fences: [-10.5, 37.5]

Q1 = 7.5, Q2 = 13.5, Q3 = 19.5, IQR = 12

How to calculate quartiles-of-3_7_8_12_15_18_21_25

To find the result of the given data set, apply the statistical formula and follow the steps shown above.

This is a Statistics — statistical calculation

Frequently asked questions

What is the answer to quartiles-of-3_7_8_12_15_18_21_25?
The answer is Q1=7.5, Q2=13.5, Q3=19.5, IQR=12.

What method is used?
Statistical functions like mean, median, mode, and standard deviation summarize a dataset into a single representative value.

More statistics calculator problems

average of 4, 8, 15, 16, 23, 42 median of 3, 7, 9, 12, 15 mode of 2, 4, 4, 6, 8 standard deviation of 2, 4, 4, 4, 5, 5, 7, 9 variance of 10, 20, 30, 40, 50 sum of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 average of 85, 90, 78, 92, 88 median of 1, 3, 5, 7, 9, 11 mode of 5, 5, 5, 3, 3, 1 standard deviation of 10, 12, 14, 16, 18 average of 72, 85, 91, 68, 79 median of 22, 35, 41, 58, 63, 77 median of 1, 3, 5, 7, 9 median of 12, 5, 8, 3, 20, 15 mode of 1, 2, 2, 3, 3, 3, 4 mode of 5, 5, 10, 10, 10, 20 standard deviation of 2, 4, 4, 4, 5, 5, 7, 9 variance of 10, 20, 30, 40, 50 quartiles of 3, 7, 8, 12, 15, 18, 21, 25 range of 2, 8, 15, 3, 22 sum of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 five number summary of 2, 4, 6, 8, 10, 12, 14 iqr of 1, 3, 5, 7, 9, 11, 13 geometric mean of 2, 8, 32 harmonic mean of 2, 4, 8 outliers of 1, 2, 3, 4, 100 percentile 90 of 10, 20, 30, 40, 50, 60, 70, 80, 90, 100