Monicaa Abhijit Solutions for Chapter: Frequency Distribution and Bar Graph, Exercise 4: REVIEW EXERCISES

The maximum temperature (in degree Celsius) and relative humidity (in percent) for a city for the month of June $2011$, as reported by Meteorological department, are given below. Construct a frequency table for each.

Maximum temperature (in degree Celsius):

$$\begin{gathered} 32.5, 30.5, 33.8, 31.0, 28.6, 33.9, 33.3, 32.4, 30.4, 32.6, 34.7, 31.9, 35.2, 35.3, 35.5, \\ 36.4, 36.9, 37.0, 34.4, 32.5, 31.4, 34.4, 35.6, 37.3, 37.5, 36.9, 37.0, 36.3, 36.9, 36.7 \end{gathered}$$

Relative humidity (in percent):

$$\begin{gathered} 90, 97, 92, 95, 93, 95, 93, 85, 83, 85, 83, 77, 83, 77, 74, 60, 71, 65, 74, 80, 87, 82, \\ 81, 76, 61, 63, 58, 85, 56, 57 \end{gathered}$$

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

Arrange these in groups $30-39, 40-49$ and so on.

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

What is the lowest score?

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

What is the range of the given data?

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

How many got distinction (i.e $75$ and above)?

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

How many scored $90$ and above?

The final marks in Mathematics of $30$ students are as follows:

$$\begin{gathered} 55, 60, 48, 65, 78, 42, 55, 100, 92, 35, 42, 55, 63, 31, 82, 84, 90, 95 ,67, 58, 75, 81, \\ 39, 72, 79, 93, 62, 54, 47, 41 \end{gathered}$$

If $40$ is the passing mark, how many students failed?

The following table shows the life expectancy (average age to which people live) in various countries in a particular year. Represent the data in a bar graph.