Classifying Statistical Data (Copy)
Q1 (Non-Calculator)
20 students were asked about their favourite fruit.
The results were:
apple, banana, apple, orange, banana, banana, apple, apple, orange, banana, apple, orange, orange, banana, apple, banana, banana, apple, orange, apple.
Complete a tally and frequency table.
Solution:
| Fruit | Tally | Frequency |
|---|---|---|
| Apple | ///// //// | 9 |
| Banana | ///// / | 7 |
| Orange | //// | 4 |
Answer:
Completed table as shown.
Q2 (Non-Calculator)
A survey records types of pets owned by 25 people:
Dog (11), Cat (8), Other (6).
Make a tally table.
Solution:
| Pet | Tally | Frequency |
|---|---|---|
| Dog | ///// //// | 11 |
| Cat | ///// /// | 8 |
| Other | ///// / | 6 |
Answer:
Completed table as shown.
Q3 (Non-Calculator)
Fill in the missing number in the two-way table:
| Football | Basketball | Total | |
|---|---|---|---|
| Boys | 12 | 8 | 20 |
| Girls | 7 | ? | 15 |
| Total | 19 | 12 | 31 |
Solution:
- Girls who play football = 7
- Total football players = 19
Girls who play basketball = 15 – 7 = 8
Answer:
Girls Basketball = 8
Q4 (Non-Calculator)
In a two-way table:
| Yes | No | Total | |
|---|---|---|---|
| Group A | 14 | 6 | 20 |
| Group B | 9 | 11 | 20 |
| Total | 23 | 17 | 40 |
How many people said “No” in total?
Solution:
From table, No total = 17
Answer:
17
Q5 (Non-Calculator)
From Q4, what is the total number of people in Group B?
Solution:
From table, Group B total = 20
Answer:
20
Q6 (Calculator)
30 students were surveyed about their favourite subject.
Results: Math (12), English (10), Science (8).
Create a tally table.
Solution:
| Subject | Tally | Frequency |
|---|---|---|
| Math | ///// ///// // | 12 |
| English | ///// ///// | 10 |
| Science | ///// /// | 8 |
Answer:
Completed table as shown.
Q7 (Calculator)
In a two-way table:
| Red | Blue | Total | |
|---|---|---|---|
| Small | 6 | 5 | 11 |
| Large | 9 | ? | 14 |
| Total | 15 | 11 | 26 |
Find the missing number (?).
Solution:
- Small Red + Large Red = Total Red
6 + 9 = 15 (OK) - Small Blue + Large Blue = Total Blue
5 + ? = 11 → ? = 6
Answer:
6
Q8 (Calculator)
Using Q7, how many large shirts are blue?
Solution:
From previous answer: 6
Answer:
6
Q9 (Calculator)
A survey shows: 18 people like tea, 12 like coffee, and 5 like both.
How many like tea only?
Solution:
Tea only = 18 – 5 = 13
Answer:
13
Q10 (Calculator)
From Q9, how many people like either tea or coffee?
Solution:
Tea or Coffee = (Tea only) + (Coffee only) + (Both)
= 13 + (12 – 5) + 5
= 13 + 7 + 5
= 25
Answer:
25