मराठी

The marks of 200 students in a test were recorded as follows: Marks% 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100 No. of students 5 7 11 20 40 52 36 15 9 5 - Mathematics

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प्रश्न

The marks of 200 students in a test were recorded as follows:

Marks
%
0-10 10-20 20-30  30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
5 7 11 20 40 52 36 15 9 5

Using graph sheet draw ogive for the given data and use it to find the,

  1. median,
  2. number of students who obtained more than 65% marks
  3. number of students who did not pass, if the pass percentage was 35.
आलेख
बेरीज

उत्तर

Marks (%) f cf
0 – 10 5 5
10 – 20 7 12
20 – 30 11 23
30 – 40 20 43
40 – 50 40 83
50 – 60 52 135
60 – 70 36 171
70 – 80 15 186
80 – 90 09 195
90 – 100 05 200
  1. Median = 53 ± 1
  2. More than 65% = 46 ± 2
  3. Didn't pass = 31 ± 2 

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संबंधित प्रश्‍न

Calculate the mean of the distribution given below using the shortcut method.

Marks 11-20 21-30 31-40 41-50 51-60 61-70 71-80
No. of students 2 6 10 12 9 7 4

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
  1. If the number of workers in each category is doubled, what would be the new mean wage? 
  2. If the wages per day in each category are increased by 60%; what is the new mean wage? 
  3. 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 monthly income of a group of 320 employees in a company is given below:

Monthly income (thousands)  No. of employees 
6-7 20
7-8 45
8-9 65
9-10 95
10-11 60
11-12 30
12-13 5

Draw an ogive of the distribution on a graph paper taking 2 cm = Rs. 1000 on one axis and 2 cm = 50 employees on the other axis. From the graph detemine: 

  1. the median wage. 
  2. number of employee whose income is below Rs. 8,500.
  3. If salary of a senior employee is above Rs. 11,500, find the number of senior employee in the company. 
  4. the upper quartile.

Draw a histogram for the following distribution and estimate the mode: 

I.Q. Score 80-100 100-120 120-140 140-160 160-180 180-200
No. of Students 6 9 16 13 4 2

The mean of marks scored by 100 students was found to be 40, later on, it was discovered that a score of 53 was misread as 83. Find the correct mean.


Height (in cm) of 7 boys of a locality are 144 cm, 155 cm, 168 cm, 163 cm, 167 cm, 151 cm and 158 cm. Find their mean height.


Find the mean and the median of: 0.5, 5.6, 3.8, 4.9, 2.7 and 4.4


The median of the data 24, 29, 34, 38, 35 and 30, is ___________


Median is one of the observations in the data if number of observations is ______.


If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.


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