CBSE Class 10 Mathematics Chapter 14 Statistics Multiple Choice Questions with Answers. MCQ Class 10 Maths Statistics with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Statistics MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 6
Question 1:
Pocket expenses of a class in a college are shown in the following frequency distribution:
Pocket expenses | 0-200 | 200-400 | 400-600 | 600-800 | 800-1000 | 1000-1200 | 1200-1400 |
Number of students | 33 | 74 | 170 | 88 | 76 | 44 | 25 |
Then the median for the above data is:
(A) 485.07
(B) 486.01
(C) 487.06
(D) 489.03
Correct Answer – (C)
Question 2 :
In a small scale industry, salaries of employees are given in the following distribution table:
Salary (in Rs.) | 4000 – 5000 | 5000-6000 | 6000-7000 | 7000-8000 | 8000-9000 | 9000-10000 |
Number of employees | 20 | 60 | 100 | 50 | 80 | 90 |
Then the mean salary of the employee is:
(A) Rs. 7350
(B) Rs. 7400
(C) Rs. 7450
(D) Rs. 7500
Correct Answer – (C)
Question 3 :
The Median when it is given that mode and mean are 8 and 9 respectively, is:
(A) 8.57
(B) 8.67
(C) 8.97
(D) 9.24
Correct Answer – (B)
By Empirical formula:
Mode = 3median – 2 mean
8 = 3medain – 2 X 9
8 = 3median – 18
3median = 8 + 18
Median = 26/3
Median = 8.67
Question 4 :
If the mean of first n natural numbers is 5n/9, then n =?
(A) 6
(B) 7
(C) 9
(D) 10
Correct Answer – (C)
Question 5 :
For the following distribution,
Class | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 |
Frequency | 10 | 15 | 12 | 20 | 9 |
The sum of lower limits of median class and modal class is:
(A) 15
(B) 25
(C) 30
(D) 35
Correct Answer – (B)
Question 6 :
For one term, absentee record of students is given below. If mean is 15.5, then the missing frequencies x and y are:
Number of days | 0-5 | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | 35-40 | TOTAL |
Total Number of students | 15 | 16 | x | 8 | y | 8 | 6 | 4 | 70 |
(A) x = 4 and y = 3
(B) x = 7 and y = 7
(C) x = 3 and y = 4
(D) x = 7 and y = 6
Correct Answer – (D)
Question 7 :
n a hospital, weights of new born babies were recorded, for one month. Data is as shown:
Weight of new born baby (in kg) | 1.4 – 1.8 | 1.8 – 2.2 | 2.2 – 2.6 | 2.6 – 3.0 |
No of babies | 3 | 15 | 6 | 1 |
Then the median weight is:
(A) 2kg
(B) 2.03kg
(C) 2.05 kg
(D) 2.08 kg
Correct Answer – (C)
Question 8 :
If 35 is removed from the data, 30, 34, 35, 36, 37, 38, 39, 40 then the median increases by:
(A) 2
(B) 1.5
(C) 1
(D) 0.5
Correct Answer – (D)
We have
30, 34, 35, 36, 37, 38, 39, 40
The data has 8 observations, so there are two middle terms, 4th and 5th term i.e. 36 and 37.
The median is the mean of both these terms.
Median = (36 + 37)/2
Median = 36.5
When 35 is removed from given data as 30, 35, 36, 37, 38, 39, 40 then the number of observations becomes 7.
Now the median is the middle most i.e 4th term which is equal to 37.
Therefore median is increased by 37 – 36.5 = 0.5
Question 9 :
If the arithmetic mean of x, x + 3, x + 6, x + 9 and x + 12 is 10, then x = ?
(A) 1
(B) 2
(C) 6
(D) 4
Correct Answer – (D)
Question 10 :
The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency of a grouped data gives its:
(A) Mean
(B) Median
(C) Mode
(D) All of these
