Interquartile Range and Percentiles

Calculate $Q_1,Q_2$ and $Q_3$ from the following grouped data.

If total number of data sets are $52$, then the percentiles of a given set of data fall within $8\%$ is _____.

A set of numbers may be as follows: $8, 14, 15, 16, 17, 18, 19, 50$. Find the interquartile range $\left(\mathrm{IQR}\right)$.

Calculate $Q_1,Q_2$ and $Q_3$ from the following grouped data.

Identify any outliers for the given set of data.

$4,3,5,6,8,9,18$

If total number of data sets are $52$, then how many of a given set of data fall within $10\%$.

A set of numbers may be as follows: $8, 14, 15, 16, 17, 18, 19, 50$. Find lower, upper quartile and  interquartile range $\left(\mathrm{IQR}\right)$.

Identify any outliers for the given set of data.

$1,2,3,5,6,7,8,8,9,11,19$

$20$ adults are selected at random, and each is asked to state the number of trips abroad that they have made.

The results are shown in the back-to-back stem-and-leaf diagram.

Interpret the key features of the data represented in your diagrams and compare the data for the $2$ groups of adults.

Find the sum of lower quartile and upper quartile for the data set:

$9, 5, 7, 11, 13, 17, 15$

Find upper quartile for the data set:

$41, 21, 38, 27, 31, 45, 23, 26, 29, 30, 28, 25, 35, 42, 47, 53, 29, 31, 35$

Find lower quartile for the data set:

$41, 21, 38, 27, 31, 45, 23, 26, 29, 30, 28, 25, 35, 42, 47, 53, 29, 31, 35$

The difference between the values of the first and third quartiles is called Inter quartile range.