CBSE Class 10 Mathematics Statistics Worksheet Set A

Case Based MCQs

Case I : Read the following passage and answer the questions

Toll Tax Collection

On a particular day, National Highway Authority of India (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.

Question. If A is taken as assumed mean, then the possible value of A is
(a) 32
(b) 42
(c) 85
(d) 55

Answer: D

Question. If xi’s denote the class marks and di’s denote the deviation of assumed mean (A) from xi’s, then the minimum value of |di| is
(a) –200
(b) –100
(c) 0
(d) 100

Answer: C

Question. The mean of toll tax received by NHAI by assumed mean method is
(a) ₹ 52
(b) ₹ 52.14
(c) ₹ 52.50
(d) ₹ 53.50

Answer: B

Question. 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) can't say

Answer: A

Question. The average toll tax received by NHAI in a day, from that particular toll plaza, is
(a) ₹ 21000.60
(b) ₹ 21900.80
(c) ₹ 30000.90
(d) ₹ 21898.80

Answer: D

Case II : Read the following passage and answer the questions

Distance Analysis of Public Transport Buses

Transport department of a city wants to buy some Electric buses for the city. For which they want 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.

Question. 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 the options

Answer: B

Question. The median class is
(a) 229.5-239.5
(b) 230-239
(c) 220-229
(d) 219.5-229.5

Answer: D

Question. The cumulative frequency of the class preceding the median class is
(a) 14
(b) 18
(c) 26
(d) 10

Answer: B

Question. The median of the distance travelled is
(a) 222 km
(b) 225 km
(c) 223 km
(d) none of the options

Answer: D

Question. 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

Answer: D

Case III : Read the following passage and answer the questions

Electric Scooter Manufacturing Company

An electric scooter manufacturing company wants to declare the mileage of their electric scooters. For this, they recorded the mileage (km/charge) of 50 scooters of the same model. Details of which are given in the following table.

Question. The average mileage is
(a) 140 km/charge
(b) 150 km/charge
(c) 130 km/charge
(d) 144.8 km/charge

Answer: D

Question. The modal value of the given data is
(a) 150
(b) 150.91
(c) 145.6
(d) 140.9

Answer: B

Question. The median value of the given data is
(a) 140
(b) 146.67
(c) 130
(d) 136.6

Answer: B

Question. Assumed mean method is useful in determining the
(a) Mean
(b) Median
(c) Mode
(d) All of these

Answer: A

Question. The manufacturer can claim that the mileage for his scooter is
(a) 144 km/charge
(b) 155 km/charge
(c) 165 km/charge
(d) 175 km/charge

Answer: A

Short Answer Type Questions

 

Question. The marks obtained by 40 students of class IX in an examination are given below :

18, 8, 12, 6, 8, 16, 12, 5, 23, 2,16, 23, 2, 10, 20, 12, 9, 7, 6, 5, 3, 5, 13, 21, 13, 15, 20, 24,1, 7, 21, 16, 13, 18, 23, 7, 3, 18, 17, 16. 

Present the data in the form of a frequency distribution using the same class size, one such class being 15-20 (where 20 is not included)

Answer: The minimum and maximum marks in the given raw data are 0 and 24 respectively. It is given that 15-20 is one of the class intervals and the class size is same. So, the classes of

equal size are

0-5, 5-10, 10-15, 15-20 and 20-25

Thus, the frequency distribution is as given under :

 

 

Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 10 Mathematics Statistics Worksheet Set A