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प्रश्न
Draw a histogram for the following distribution and estimate the mode:
| Mangoes | 0-9 | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 |
| No. of trees | 10 | 16 | 20 | 14 | 6 | 4 |
उत्तर
| Mangoes per tree | No. of trees |
| 0.5-9.5 | 10 |
| 9.5-19.5 | 16 |
| 19.5-29.5 | 20 |
| 29.5-39.5 | 14 |
| 39.5-49.5 | 6 |
| 49.5-59.5 | 4 |
(a) Take 1cm = 1 unit and plot mangoes on x-axis and no. of trees on y-axis.
(b) Draw a bar graph for the given data.
(c) From the histogram it is clear that class 19.5-29.5 has highest frequency i.e. 20
(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 = 23 .5
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संबंधित प्रश्न
The following distribution represents the height of 160 students of a school.
| Height (in cm) | No. of Students |
| 140 – 145 | 12 |
| 145 – 150 | 20 |
| 150 – 155 | 30 |
| 155 – 160 | 38 |
| 160 – 165 | 24 |
| 165 – 170 | 16 |
| 170 – 175 | 12 |
| 175 – 180 | 8 |
Draw an ogive for the given distribution taking 2 cm = 5 cm of height on one axis and 2 cm = 20 students on the other axis. Using the graph, determine:
- The median height.
- The interquartile range.
- The number of students whose height is above 172 cm.
From the data given below, calculate the mean wage, correct to the nearest rupee.
| Category | A | B | C | D | E | F |
| Wages (Rs/day) | 50 | 60 | 70 | 80 | 90 | 100 |
| No. of workers | 2 | 4 | 8 | 12 | 10 | 6 |
- If the number of workers in each category is doubled, what would be the new mean wage?
- If the wages per day in each category are increased by 60%; what is the new mean wage?
- If the number of workers in each category is doubled and the wages per day per worker are reduced by 40%, what would be the new mean wage?
The following table gives the age of 50 student of a class. Find the arithmetic mean of their ages.
| Age-years | 16 – 18 | 18 – 20 | 20 – 22 | 22 – 24 | 24 – 26 |
| No. of students | 2 | 7 | 21 | 17 | 3 |
Find the median and mode for the set of numbers:
2, 2, 3, 5, 5, 5, 6, 8 and 9
Find the median of:
241, 243, 347, 350, 327, 299, 261, 292, 271, 258 and 257
The heights (in cm) of 8 girls of a class are 140, 142, 135, 133, 137, 150, 148 and 138 respectively. Find the mean height of these girls and their median height.
Find the mean of: first six even natural numbers
Median is one of the observations in the data if number of observations is ______.
The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29
For the given data, find the median
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.
