CBSE 10th Standard Maths Subject Statistics Case Study Questions 2021
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CBSE 10th Standard Maths Subject Statistics Case Study Questions 2021
10th Standard CBSE
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Reg.No. :
Maths
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As the demand for the products grew, a manufacturing company decided to hire more employees. For which they want to know the mean time required to complete the work for a worker. The following table shows the frequency distribution of the time required for each worker to complete a work.
Time (in hours) 15-19 20-24 25-29 30-34 35-39 Number of workers 10 15 12 8 5 Based on the above information, answer the following questions.
(i) The class mark of the class 25-29 is(a) 17 (b) 22 (c) 27 (d) 32 (ii) If xi's denotes the class marks and fi's denotes the corresponding frequencies for the given data, then the value of \(\sum x_{i} f_{i}\) equals to
(a) 1200 (b) 1205 (c) 1260 (d) 1265 (iii) The mean time required to complete the work for a worker is
(a) 22 hrs (b) 23 hrs (c) 24 hrs (d) none of these (iv) If a worker works for 8 hrs in a day, then approximate time required to complete the work for a worker is
(a) 3 days (b) 4 days (c) 5 days (d) 6 days (v) The measure of central tendency is
(a) Mean (b) Median (c) Mode (d) All of these (a) -
On a particular day, National Highway Authority ofIndia (NHAI) checked the toll tax collection of a particular toll plaza in Rajasthan.
The following table shows the toll tax paid by drivers and the number of vehicles on that particular day.Toll tax (in Rs) 30-40 40-50 50-60 60-70 70-80 Number of vehicles 80 110 120 70 40 Based on the above information, answer the following questions.
(i) If A is taken as assumed mean, then the possible value of A is(a) 32 (b) 42 (c) 85 (d) 55 (ii) If xi's denotes the class marks and fi's denotes the deviation of assumed mean (A) from xi's, then the minimum value of |di| is
(a) -200 (b) -100 (c) 0 (d) 100 (iii) The mean of toll tax received. by NHAI by assumed mean method is
(a) Rs 52 (b) Rs 52.14 (c) Rs 52.50 (d) Rs 53.50 (iv) The mean of toll tax received by NHAI by direct method is
(a) equal to the mean of toll tax received by NHAI by assumed mean method (b) greater than the mean of toll tax received by NHAI by assumed mean method (c) less than the mean of toll tax received by NHAI by assumed mean method (d) none of these (v) The average toll tax received by NHAI in a day, from that particular toll plaza, is
(a) Rs 21000 (b) Rs 21900 (c) Rs 30000 (d) none of these (a) -
Transport department of a city wants to buy some Electric buses for the city. For which they wants to analyse the distance travelled by existing public transport buses in a day.
The following data shows the distance travelled by 60 existing public transport buses in a day.Daily distance travelled (in km) 200-209 210-219 220-229 230-239 240-249 Number of buses 4 14 26 10 6 Based on the above information, answer the following questions.
(i) The upper limit of a class and lower limit of its succeeding class is differ by(a) 9 (b) 1 (c) 10 (d) none of these (ii) The median class is
(a) 229.5-239.5 (b) 230-239 (c) 220-229 (d) 219.5-229.5 (iii) The cumulative frequency of the class preceding the median class is
(a) 14 (b) 18 (c) 26 (d) 10 (iv) The median of the distance travelled is
(a) 222 km (b) 225 km (c) 223 km (d) none of these (v) If the mode of the distance travelled is 223.78 km, then mean of the distance travelled by the bus is
(a) 225 km (b) 220 km (c) 230.29 km (d) 224.29 km (a) -
A group of 71 people visited to a museum on a certain day. The following table shows their ages.
Age (in years) Number of persons Less than 10 3 Less than 20 10 Less than 30 22 Less than 40 40 Less than 50 54 Less than 60 71 Based on the aboxe information, answer the following questions.
(i) If true class limits have been decided by making the classes of interval 10, then first class must be(a) 5-15 (b) 0-10 (c) 10-20 (d) none of these (ii) The median class for the given data will be
(a) 20-30 (b) 10-20 (c) 30-40 (d) 40-50 (iii) The cumulative frequency of class preceding the median class is
(a) 22 (b) 13 (c) 25 (d) 35 (iv) The median age of the persons visited the museum is
(a) 30 years (b) 32.5 years (c) 34 years (d) 37.5 years (v) If the price of a ticket for the age group 30-40 is Rs 30, then the total amount spent by this age group is
(a) Rs 360 (b) Rs 420 (c) Rs 540 (d) Rs 340 (a) -
An inspestor in an enforcement squad of electricity department visit to a locality of 100 families and record their monthly consumption of electricity, on the basis of family members, electronic items in the house and wastage of electricity, which is summarise in the following table.
Monthly Consumption
(in kwh)0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 800-900 900-1000 Number of families 2 5 x 12 17 20 y 9 7 4
Based on the above information, answer the following questions.
(i) The value of x + y is(a) 100 (b) 42 (c) 24 (d) 200 (ii) If the median of the above data is 525, then x is equal to
(a) 10 (b) 8 (c) 9 (d) none of these (iii) What will be the upper limit of the modal class?
(a) 400 (c) 650 (b) 600 (d) 700 (iv) The average monthly consumption of a family of this locality is approximately
(a) 520 kwh (b) 522 kwh (c) 540 kwh (d) none of these (v) If A be the assumed mean, then A is always
(a) > (Actual mean) (b) < (Actual Mean) (c) = (Actual Mean) (d) can't say (a)
Case Study Questions