Advertisements
Advertisements
Question
Organise the following marks in a class assessment, in a tabular form.
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7
- Which number is the highest?
- Which number is the lowest?
- What is the range of the data?
- Find the arithmetic mean.
Solution
| Marks | Tally marks | Frequency |
| 1 | I | 1 |
| 2 | II | 2 |
| 3 | I | 1 |
| 4 | III | 3 |
| 5 | `cancel(bb|bb|bb|bb|)` | 5 |
| 6 | III | 4 |
| 7 | II | 2 |
| 8 | I | 1 |
| 9 | I | 1 |
i. Highest number = 9
ii. Lowest number = 1
iii. Range = (9 − 1) = 8
iv. Sum of all the observations = 4 + 6 + 7 + 5 + 3 + 5 + 4 + 5 + 2 + 6 + 2 + 5 + 1 + 9 + 6 + 5 + 8 + 4 + 6 + 7
= 100
Total number of observations = 20
Arithmetic mean = `"Sum of all the observations"/"Total number of the observations"`
= `100/20`
= 5
APPEARS IN
RELATED QUESTIONS
Define the following term:
Discrete frequency distribution
Define the following term:
Grouped frequency distribution
Following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.
A die was thrown 25 times and following scores were obtained:
| 1, | 5, | 2, | 4, | 3, | 6, | 1, | 4, | 2, | 5, | 1, | 6, | 2, |
| 6, | 3, | 5, | 4, | 1, | 3, | 2, | 3, | 6, | 1, | 5, | 2, |
Prepare a frequency table of the scores.
The marks obtained by 40 students of class VIII in an examination are given below:
16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.
Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.
Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210-230 (230 not included):
220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.
The table shows the number of calls recorded by a Fire Service Station in one year.
| Types of Calls | Tally Marks | Frequency |
| Building Fires | |||| | | |
| Other Fires | |||| |||| | | |
| Hazardous Materials | 7 | |
| Rescues | 4 | |
| False Alarms | |||| || | |
| Total | ||
Complete the table and answer the following questions.
(i) Which type of call was recorded the most?
(ii) Which type of call was recorded the least?
(iii) How many calls were recorded in all?
(iv) How many calls were recorded as False Alarms?
When the number of observations is large, the observations are usually organised in groups of equal width called ______.
| Number of two wheelers |
Tally marks | Number of families |
| 0 | ||| | 3 |
| 1 | `cancel(|bb|bb|bb|)` `cancel(|bb|bb|bb|)` `cancel(|bb|bb|bb|)` `cancel(|bb|bb|bb|)` `cancel(|bb|bb|bb|)` ||| | 28 |
| 2 | `cancel(|bb|bb|bb|)` `cancel(|bb|bb|bb|)` |||| | 14 |
| 3 | |||| | 4 |
| 4 | | | 1 |
| Total | 50 |
Prepare a bar graph of the data.
Following is the choice of sweets for 30 students of Class VI.
| Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo. |
Arrange the names of sweets in a table using tally marks.
