Answer :
#### Solution:
### Part 5:
Consider the data collected from a survey of a colony:
| Favourite Sport | Cricket | Basket Ball | Swimming | Hockey | Athletics |
|------------------|---------|-------------|----------|--------|-----------|
| Watching | 1240 | 470 | 510 | 430 | 250 |
| Participating | 620 | 320 | 320 | 250 | 105 |
(i) Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
- To draw a double bar graph:
- Use two bars for each sport: one for the number of people watching and one for the number of people participating.
- Choose an appropriate scale, for example, 1 cm = 100 people.
- Label the x-axis with the names of the sports and the y-axis with numbers representing the number of people.
##### Inferences from the bar graph:
- Cricket has the highest number of watchers (1240) and participants (620), indicating it is the most followed sport in the colony.
- Basket Ball and Swimming have the same number of participants (320), but Swimming is watched more (510) than Basket Ball (470).
- Hockey and Athletics have the least numbers in both categories, with Athletics being the least followed.
(ii) Which sport is most popular?
Cricket is the most popular sport as it has the maximum number of watchers (1240) and participants (620).
(iii) Which is more preferred, watching or participating in sports?
To determine the preference:
- Sum the total numbers of people watching and participating:
- Total watching: 1240 + 470 + 510 + 430 + 250 = 2900
- Total participating: 620 + 320 + 320 + 250 + 105 = 1615
Since the total number of watchers (2900) is greater than the total number of participants (1615), watching sports is more preferred.
### Part 6:
For this part, data concerning temperatures of various cities taken from a different source (Table 3.1) needs to be analyzed:
(i) Which city has the largest difference in the minimum and maximum temperature on the given date?
Look for the city with the maximum range between its minimum and maximum temperatures. This is calculated by subtracting the minimum temperature from the maximum temperature for each city and comparing the differences.
(ii) Which is the hottest city and which is the coldest city?
- The hottest city is the one with the highest maximum temperature.
- The coldest city is the one with the lowest minimum temperature.
(iii) Name two cities where the maximum temperature of one is less than the minimum temperature of the other.
Identify two cities such that the maximum temperature recorded for the first city is lower than the minimum temperature recorded for the second city.
(iv) Name the city which has the least difference between its minimum and the maximum temperature.
Find the city with the smallest range between its minimum and maximum temperatures by subtracting the minimum temperature from the maximum temperature for each city and identifying the smallest result.
WHAT HAVE WE DISCUSSED?
- Interpreting data from surveys.
- Drawing and inferring from double bar graphs.
- Calculating and comparing numbers to identify preferences and popular choices.
- Analyzing temperature data to answer specific questions about temperature differences and extremes.
Note: Detailed calculations and specific data related to temperatures are not provided here as they pertain to another set of information (Table 3.1) which is assumed to be part of your textbook or provided separately.
### Part 5:
Consider the data collected from a survey of a colony:
| Favourite Sport | Cricket | Basket Ball | Swimming | Hockey | Athletics |
|------------------|---------|-------------|----------|--------|-----------|
| Watching | 1240 | 470 | 510 | 430 | 250 |
| Participating | 620 | 320 | 320 | 250 | 105 |
(i) Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
- To draw a double bar graph:
- Use two bars for each sport: one for the number of people watching and one for the number of people participating.
- Choose an appropriate scale, for example, 1 cm = 100 people.
- Label the x-axis with the names of the sports and the y-axis with numbers representing the number of people.
##### Inferences from the bar graph:
- Cricket has the highest number of watchers (1240) and participants (620), indicating it is the most followed sport in the colony.
- Basket Ball and Swimming have the same number of participants (320), but Swimming is watched more (510) than Basket Ball (470).
- Hockey and Athletics have the least numbers in both categories, with Athletics being the least followed.
(ii) Which sport is most popular?
Cricket is the most popular sport as it has the maximum number of watchers (1240) and participants (620).
(iii) Which is more preferred, watching or participating in sports?
To determine the preference:
- Sum the total numbers of people watching and participating:
- Total watching: 1240 + 470 + 510 + 430 + 250 = 2900
- Total participating: 620 + 320 + 320 + 250 + 105 = 1615
Since the total number of watchers (2900) is greater than the total number of participants (1615), watching sports is more preferred.
### Part 6:
For this part, data concerning temperatures of various cities taken from a different source (Table 3.1) needs to be analyzed:
(i) Which city has the largest difference in the minimum and maximum temperature on the given date?
Look for the city with the maximum range between its minimum and maximum temperatures. This is calculated by subtracting the minimum temperature from the maximum temperature for each city and comparing the differences.
(ii) Which is the hottest city and which is the coldest city?
- The hottest city is the one with the highest maximum temperature.
- The coldest city is the one with the lowest minimum temperature.
(iii) Name two cities where the maximum temperature of one is less than the minimum temperature of the other.
Identify two cities such that the maximum temperature recorded for the first city is lower than the minimum temperature recorded for the second city.
(iv) Name the city which has the least difference between its minimum and the maximum temperature.
Find the city with the smallest range between its minimum and maximum temperatures by subtracting the minimum temperature from the maximum temperature for each city and identifying the smallest result.
WHAT HAVE WE DISCUSSED?
- Interpreting data from surveys.
- Drawing and inferring from double bar graphs.
- Calculating and comparing numbers to identify preferences and popular choices.
- Analyzing temperature data to answer specific questions about temperature differences and extremes.
Note: Detailed calculations and specific data related to temperatures are not provided here as they pertain to another set of information (Table 3.1) which is assumed to be part of your textbook or provided separately.
