Question
9
4
5
3
6
6
8
4
9
4
3
3
3
5
5
7
4
9
3
6
a) Draw up a tally and frequency table for the number of loaves (0 to
b) Draw up a frequency table grouping the data into three groups.
2. Are the following data categorical or numerical? If it is numerical, state
whether it is discrete or continuous. A list of the:
a) television programmes each learner in Grade 10 likes most
b) distances learners have to travel to school
c) mass of each of 100 dogs
d) colours of the cars in a parkade
| 9 | 4 | 5 | 3 | 6 | 6 | 8 | 4 | 9 | 4 |
| 3 | 3 | 3 | 5 | 5 | 7 | 4 | 9 | 3 | 6 |
b) Draw up a frequency table grouping the data into three groups.
2. Are the following data categorical or numerical? If it is numerical, state
whether it is discrete or continuous. A list of the:
a) television programmes each learner in Grade 10 likes most
b) distances learners have to travel to school
c) mass of each of 100 dogs
d) colours of the cars in a parkade
Ask by Huang Macdonald. in South Africa
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Tally and Frequency Table for the Number of Loaves (3 to 9):
| Number of Loaves | Frequency | Tally | |||||
|---|---|---|---|---|---|---|---|
| 3 | 5 | ||||||
| 4 | 4 | ||||||
| 5 | 2 | ||||||
| 6 | 2 | ||||||
| 7 | 1 | ||||||
| 8 | 1 | ||||||
| 9 | 2 | ||||||
Frequency Table Grouped into Three Groups:
| Group | Frequency |
|---|---|
| 3-5 | 11 |
| 6-7 | 5 |
| 8-9 | 5 |
Data Types:
a) Television Programmes Each Learner in Grade 10 Likes Most: Categorical
b) Distances Learners Have to Travel to School: Numerical (Continuous)
c) Mass of Each of 100 Dogs: Numerical (Continuous)
d) Colours of the Cars in a Parkade: Categorical
Solution
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The Deep Dive
The display of our data in a tally and frequency table can transform those numbers into easy-to-digest visuals! For instance, you might see entries for the number of loaves ranging from 0 to 10 with tally marks illustrating how often each number appears in your original dataset. You’ll sum up each tallied set to find your frequency count, revealing trends at a glance!
When creating a grouped frequency table, simply categorize your data into convenient ranges, like 0-3, 4-6, and 7-10. Total the numbers of occurrences in each range, and voilà! You’ll spot where most of your data clusters, making it easier to analyze and interpret for trends in loaf consumption, or whatever data you’re working with!
Now, for the data types:
a) Television programs are categorical, since they represent distinct categories of preference with no inherent numeric value.
b) Distances to school are numerical, and specifically continuous, as they can take on any value within a range, allowing for decimal points.
c) Masses of dogs are also numerical and continuous, because they can vary infinitely and include decimals.
d) Finally, car colors are categorical. Each color represents a different category with no numeric scale involved!
a) Television programs are categorical, since they represent distinct categories of preference with no inherent numeric value.
b) Distances to school are numerical, and specifically continuous, as they can take on any value within a range, allowing for decimal points.
c) Masses of dogs are also numerical and continuous, because they can vary infinitely and include decimals.
d) Finally, car colors are categorical. Each color represents a different category with no numeric scale involved!
