Quartile for Grouped Data

Q.

The given table shows the Marks obtained by students in Mathematics.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ 0-10& 3\\ 10-20& 7\\ 20-30& 12\\ 30-40& 15\\ 40-50& 20\\ 50-60& 9\\ 60-70& 8\\ 70-80& 16\\ 80-90& 14\\ 90-100& 6\end{array}$

Using the table determine the InterQuartile Range by drawing an ogive curve.

1. 40

2. 42

3. 45

4. 48

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

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

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
$\left[4Marks\right]$

Q.

The given table shows the Marks obtained by students in Mathematics.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ 0-10& 3\\ 10-20& 7\\ 20-30& 12\\ 30-40& 15\\ 40-50& 20\\ 50-60& 9\\ 60-70& 8\\ 70-80& 16\\ 80-90& 14\\ 90-100& 6\end{array}$

Using the table determine the Upper Quartile by drawing an ogive curve.

1. 80
2. 76
3. 78
4. 72

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

Q.

The given table shows the Marks obtained by students in Mathematics.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ 0-10& 3\\ 10-20& 7\\ 20-30& 12\\ 30-40& 15\\ 40-50& 20\\ 50-60& 9\\ 60-70& 8\\ 70-80& 16\\ 80-90& 14\\ 90-100& 6\end{array}$

Using the table determine the Lower Quartile by drawing an ogive curve.

Q. What is inter-quartile range?

Q.

The given table shows the Marks obtained by students in Mathematics.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ 0-10& 3\\ 10-20& 7\\ 20-30& 12\\ 30-40& 15\\ 40-50& 20\\ 50-60& 9\\ 60-70& 8\\ 70-80& 16\\ 80-90& 14\\ 90-100& 6\end{array}$

Using the table determine the Lower Quartile by drawing an ogive curve.

1. 34

2. 36

3. 30

4. 32