Question : Calculate the mean from the following table.
| Scores | Frequencies |
| 0-10 | 2 |
| 10-20 | 4 |
| 20-30 | 12 |
| 30-40 | 21 |
| 40-50 | 6 |
| 50-60 | 3 |
| 60-70 | 2 |
Option 1: 34.2
Option 2: 33.4
Option 3: 32.6
Option 4: 35.8
Correct Answer: 33.4
Solution :
| Scores | Frequencies | Mid Point | Mid Point × Frequencies |
| 0-10 | 2 | 5 | 10 |
| 10-20 | 4 | 15 | 60 |
| 20-30 | 12 | 25 | 300 |
| 30-40 | 21 | 35 | 735 |
| 40-50 | 6 | 45 | 270 |
| 50-60 | 3 | 55 | 165 |
| 60-70 | 2 | 65 | 130 |
Mean = $\frac{\sum \text{ (Mid Point × Frequencies)}}{\sum \text{Frequencies}}$
= $\frac{10+60+300+735+270+165+130}{2+4+12+21+6+3+2}$
= $\frac{1670}{50}$
= 33.4
Hence, the correct answer is 33.4.
Related Questions
Question : The following table shows the marks distribution among the students in a class.
| Marks | No.of Students |
| Less than 10 | 2 |
| Less than 20 | 5 |
| Less than 30 | 6 |
| Less than 40 | 8 |
| Less than 50 | 10 |
How many students scored marks between 20 and 30?
Option 1: 2
Option 2: 5
Option 3: 1
Option 4: 6
Question : The following table shows the marks distribution among students in a class.
| Marks | No. of Students |
| Less than 10 | 2 |
| Less than 20 | 5 |
| Less than 30 | 6 |
| Less than 40 | 8 |
| Less than 50 | 10 |
How many students scored less than 20 marks?
Option 1: 5
Option 2: 7
Option 3: 2
Option 4: 6
Question : Study the given table and answer the question that follows.
The table shows the marks distribution among the students in a class.
The table shows the marks distribution among the students in a class.
| Marks | No. of Students |
| Less than 10 | 2 |
| Less than 20 | 5 |
| Less than 30 | 6 |
| Less than 40 | 8 |
| Less than 50 | 10 |
How many students scored more than 40 marks?
Option 1: 2
Option 2: 4
Option 3: 5
Option 4: 3
Question : Refer to the data table and answer the following question.
| Marks | Number of students |
| 40 and above | 25 |
| 30 and above | 44 |
| 20 and above | 56 |
| 10 and above | 86 |
| 0 and above | 100 |
How many students have scored marks 20 or more but less than 40?
Option 1: 31
Option 2: 56
Option 3: 44
Option 4: 100
Question : Refer to the following data table and answer the question.
| Division /Standard | Boys | Girls |
| A/5 | 20 | 30 |
| B/5 | 15 | 20 |
| C/5 | 30 | 10 |
| A/6 | 30 | 25 |
| B/6 | 30 | 25 |
| C/6 | 30 | 20 |
What is the ratio of number of the boys to girls?
Option 1: 26 : 31
Option 2: 31 : 26
Option 3: 33 : 28
Option 4: 28 : 33
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