Quartiles

Q.

Using the frequency distribution table given below, draw 'less than ogive'. Then from the ogive, find:

interquartile range
$\begin{array}{cc}Classinterval& Frequency\\ 10-20& 2\\ 20-30& 4\\ 30-40& 6\\ 40-50& 8\\ 50-60& 10\end{array}$

1. 21.5

2. 22.5

3. 21

4. 22

Q.

For the given set of numbers, the lower quartile, the upper quartile and inter quartile range is
2, 4, 13, 14, 19, 20, 27

1. 4, 20, 16

2. 4, 27, 25

3. 2, 27, 25

4. 13, 20, 7

Q. For a grouped data set the total frequency is given by 40. If you are using ogive to find the first quartile, what will be the calculated point to mark on the y-axis?

1. ${12}^{th}term$
2. ${15}^{th}term$
3. $9^{th}term$
4. ${10}^{th}term$

Q.

The table shows the Distribution of the Scores obtained by 155 shooters in a shooting competition.

$\begin{array}{cc}\text{Scores}& \text{No. of shooters}\\ 0-10& 10\\ 10-20& 12\\ 20-30& 15\\ 30-40& 8\\ 40-50& 20\\ 50-60& 24\\ 60-70& 7\\ 70-80& 11\\ 80-90& 30\\ 90-100& 18\end{array}$

Use a graph sheet to draw an ogive for the distribution.

Using the graph estimate the Interquartile range

1. 55

2. 84

3. 52

4. 44

Q. Find the inter quartile range (IQR) of the data plotted in the given box and whisker plot.

1. 26
2. 36
3. 32
4. 10