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CBSE 10 Math Statistics Practice Paper 12

CBSE 10 Math Statistics Practice Paper 12 - Coding Bihar

CBSE 10 Math Practice Paper
CBSE 10 Mathematics Statistics Practice Paper 12

1. The marks obtained by 30 students of Class X of a certain school in a Mathematics paper consisting of 100 marks are presented in table below. Find the mean of the marks obtained by the students.

 
Marks Obtained (\(x_i\)) 10203640 505660707280889295
Number of students \((f_i)\)1134324411231

2. The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of India. Find the mean percentage of female teachers by all the three methods discussed in this section.

 
Percentage of female teachers 15 - 2525 - 3535 - 4545 - 55 55 - 6565 - 7575 - 85
Number of States/U.T. 611 74421

3. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency f.
Daily pocketallowance (in Rs) 11 - 1313 - 1515 - 1717 - 19 19 - 2121 - 2323 - 25
Number of children76913f54

4. A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. Find the mode of this data.

 
Family size 1 - 33 - 55 - 77 - 9 9 - 11
Number of families78221

5. The following table shows the ages of the patients admitted in a hospital during a year:
Age (in years) 5 - 15 15 - 2525 - 3535 - 45 45 - 5555 - 65
Number of patients6112123145

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :  
Number of cars 0 - 1010 - 2020 - 3030 - 4040 - 5050 - 6060 - 7070 - 80
Frequency71413122011158

7. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.


Monthly consumption (in units)Number of consumers
65 - 854
85 - 1055
105 - 12513
125 - 14520
145 - 16514
165 - 1858
185 - 2054

8. If the median of the distribution given below is 28.5, find the values of x and y.
Class intervalFrequency
0 - 105
10 - 20x
20 - 3020
30 - 4015
40 - 50y
50 - 605
Total60
9. The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :


Length (in mm)Number of leaves
118 - 1263
127 - 1355
136 - 1449
145 - 15312
154 - 1625
163 - 1714
172 - 1802

Find the median length of the leaves.

10. The following table gives the distribution of the life time of 400 neon lamps :

Life time (in hours)life time of a lamp
1500 - 200014
2000 - 250056
2500 - 300060
3000 - 350086
3500 - 400074
4000 - 450062
4500 - 500048
Find the median life time of a lamp.

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 Sandeep Gupta

Posted by Sandeep Gupta

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