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प्रश्न
Draw a histogram for the following distribution and estimate the mode:
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
No. of students | 3 | 7 | 15 | 24 | 16 | 8 | 5 | 2 |
उत्तर
(a) Take 1cm = 1 unit and plot marks on x-axis and no. of students on y-axis.
(b) Draw a bar graph for the given data.
(c) From the histogram it is clear that class 30-40 has highest frequency i.e. 24
( d) Join the ends of the corresponding frequencies which meet at P and drop a perpendicular on the x-axis from P to Q. Q is the mode. Therefore, Mode = 35
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संबंधित प्रश्न
Find the mean of the following distribution by step deviation method:
Class Interval | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency | 10 | 6 | 8 | 12 | 5 | 9 |
The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.
Marks obtained | 5 | 6 | 7 | 8 | 9 | 10 |
No. of students | 3 | 9 | 6 | 4 | 2 | 1 |
The mean of the number 6, ‘y’, 7, ‘x’ and 14 is 8. Express ‘y’ in terms of ‘x’.
The data on the number of patients attending a hospital in a month are given below. Find the average (mean) number of patients attending the hospital in a month by using the shortcut method. Take the assumed mean as 45. Give your answer correct to 2 decimal places.
Number of patients | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 |
Number of Days | 5 | 2 | 7 | 9 | 2 | 5 |
Following 10 observations are arranged in ascending order as follows.
2, 3, 5, 9, x + 1, x + 3, 14, 16, 19, 20
If the median of the data is 11, find the value of x.
Find the mean of the following frequency distribution by the step deviation method :
Class | 100-110 | 110-120 | 120-130 | 130-140 | 140-150 |
Frequency | 15 | 18 | 32 | 25 | 10 |
Find the rnedian of the first 15 whole numbers .
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
Marks(more than) | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |
No. of students | 6 | 13 | 22 | 34 | 48 | 60 | 70 | 78 | 80 | 80 |
The median of observations 10, 11, 13, 17, x + 5, 20, 22, 24 and 53 (arranged in ascending order) is 18; find the value of x.
Find the median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51