Case Study Based Question on Statistics
Hydroponics is a new farming approach to lay the foundation for future agriculture careers. Class IX students explored hydroponics and discovered its benefits by growing 35 plants without soil (non soil material) in short span of time. The following table shows the record of the lengths of the 35 plants grown in plastic containers following proper guided techniques:
| Length of Leaves (in cm) | 9.3-9.7 | 9.8-10.2 | 10.3-10.7 | 10.8-11.2 |
| Number of Plants | 2 | 5 | 12 | 16 |
(a) Convert the given frequency distribution table into continuous grouped frequency distribution table.
(b)How many plants grew in leaf length more than 9 cm.
OR
How many plants grew in leaf length less than 12 cm?
(c) What is the mid point of the class interval 9.8-10.2
(d) In which field is statistics widely used to analyse and interpret data?
Doubt by Jugal
Solution :
(a)
Here
9.8-9.7
=0.1
Dividing by 2
0.1/2
=0.05
Now subtracting 0.05 from lower limit and adding 0.05 to upper limit. The continous grouped frequency distribution table is :
| Length of Leaves (in cm) | 9.25-9.75 | 9.75-10.25 | 10.25-10.75 | 10.75-11.25 |
| Number of Plants | 2 | 5 | 12 | 16 |
= 2+5+12+16
= 35
OR
Number of plants which grew in leaf length are less than 12 cm
= 2+5+12+16
= 35
(c) Mid Point of 9.8-10.2
Mid Point = (Lower Limit + Upper Limit)/2
Mid Point = (9.8+10.2)/2
Mid Point = 20/2
Mid Point = 10
(d) Business and economics is one of the most common fields where statistics is used, especially for decision-making and forecasting.