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प्रश्न
A die was thrown 15 times and the outcomes recorded were 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2. Find the mean, median and mode of the data.
उत्तर
Given data is 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2
Arranging the data in ascending order, we have
1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6
Mean = `"Sum of all observations"/"Total number of observations"`
= `(1 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6 + 6)/15`
= `47/15`
= 3.13
Mode = Most frequent data = 2
Here, n = 15 .....(Odd)
Median = Value of `((n + 1)/2)`th observation
= Value of `((15 + 1)/2)`th observation
= Value of 8th observation
= 3
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संबंधित प्रश्न
Marks obtained (in mathematics) by 9 students are given below:
60, 67, 52, 76, 50, 51, 74, 45 and 56
- Find the arithmetic mean.
- If marks of each student be increased by 4; what will be the new value of arithmetic mean?
Attempt this question on graph paper.
| Age (yrs ) | 5-15 | 15-25 | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
| No.of casualties | 6 | 10 | 15 | 13 | 24 | 8 | 7 |
(1) Construct the 'less than' Cumulative frequency curve for the above data. using 2 cm =10 years on one axis and 2 cm =10 casualties on the other.
(2)From your graph determine :
(a)the median
(b)the lower quartile
Draw an ogive for the data given below and from the graph determine:
- the median marks
- the number of students who obtained more than 75% marks
| Marks | No. of students |
| 0 – 9 | 5 |
| 10 – 19 | 9 |
| 20 – 29 | 16 |
| 30 – 39 | 22 |
| 40 – 49 | 26 |
| 50 – 59 | 18 |
| 60 – 69 | 11 |
| 70 – 79 | 6 |
| 80 – 89 | 4 |
| 90 – 99 | 3 |
The marks of 200 students in a test were recorded as follows:
| Marks | No. of students |
| 10-19 | 7 |
| 20-29 | 11 |
| 30-39 | 20 |
| 40-49 | 46 |
| 50-59 | 57 |
| 60-69 | 37 |
| 70-79 | 15 |
| 80-89 | 7 |
Construct the cumulative frequency table. Drew the ogive and use it too find:
(1) the median and
(2) the number of student who score more than 35% marks.
Find the mean of the following frequency distribution :
| Class | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 |
| Frequency | 6 | 10 | 8 | 12 | 4 |
The following data have been arranged in ascending order. If their median is 63, find the value of x.
34, 37, 53, 55, x, x + 2, 77, 83, 89 and 100.
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is decreased by 20%.
The mean of 18, 28, x, 32, 14 and 36 is 23. Find the value of x. Sum of data
Calculate the median of the following sets of number:
1, 9, 10, 8, 2, 4, 4, 3, 9, 1, 5, 6, 2 and 4.
Find the median of the data: 24, 36, 46, 17, 18, 25, 35
