Mathematics - Statistics
Exam Duration: 45 Mins Total Questions : 30
The bar graph given shows the months of birthdays of 40 students of a class.
In which month were the minimum number of students born?
- (a)
February
- (b)
June
- (c)
December
- (d)
May
The bar graph given shows the months of birthdays of 40 students of a class.
In which months was the difference in the number of students born the same as that in October and November?
- (a)
February and January
- (b)
May and July
- (c)
March and April
- (d)
August and September
In a school 90 boys and 30 girls appeared for a public examination. The mean marks of boys was found to be 45% whereas the mean marks of girls was 70%. What is the average marks % of the school?
- (a)
61.50%
- (b)
51.25%
- (c)
40.50%
- (d)
51.52%
What is a graph drawn with the midpoints of the top sides of the rectangles forming the histogram of a frequency distribution called?
- (a)
Bar graph
- (b)
Ogive
- (c)
Frequency polygon
- (d)
Frequency curve
What do you call the value in a data around which the values of all the other observations tend to concentrate?
- (a)
Common value
- (b)
Range
- (c)
Measure of central tendency
- (d)
Midvalue
Of the class intervals 10- 20 and 20 - 30. the number 20 is included in which of the following?
- (a)
10 - 20
- (b)
20 - 30
- (c)
15 - 20
- (d)
Both (A) and (B)
The median of given observations arranged in ascending order is 25.
Find p.
- (a)
22
- (b)
24
- (c)
21
- (d)
26
The following is a chart showing the temperature of a patient recorded at different times.
What is the temperature of the patient at 21 hrs?
- (a)
100° F
- (b)
101°F
- (c)
102° F
- (d)
103° F
The following is a chart showing the temperature of a patient recorded at different times.
What is the percentage increase in temperature between 9 hrs and 15 hrs?
- (a)
4%
- (b)
3%
- (c)
2%
- (d)
1%
The following is a chart showing the temperature of a patient recorded at different times.
What is the percentage decrease in temperature between 17 hrs and 19 hrs?
- (a)
1.02%
- (b)
1.03%
- (c)
1.04%
- (d)
1.01%
The following is a chart showing the temperature of a patient recorded at different times.
What is the average temperature of the patient between 13. 15 and 17 hrs?
- (a)
103 oF
- (b)
102oF
- (c)
101°F
- (d)
100 °F
A grouped frequency distribution table with classes of equal sizes using 63 - 72 (72 included) as one of the classes is constructed for the following data
Find the number of classes in the distribution.
- (a)
9
- (b)
11
- (c)
10
- (d)
12
The mean wage of 150 labourers working in a factory running three shifts with 60,40 and 50 labourers is Rs114. The mean wage of 60 labourers working in the first shift is Rs121.50 and that of 40 labourers working the second shift is - 107.75. Find the mean wage of those who are working in the third shift.
- (a)
Rs110
- (b)
Rs100
- (c)
Rs120
- (d)
Rs 115.75
The mean of n observations is \(\overline{x}\) . If each observation is multiplied by k, what is the mean of new observations?
- (a)
K\(\overline{x}\)
- (b)
\({\overline{x}\over K}\)
- (c)
\(\overline{x}\)+ k
- (d)
\(\overline{x}\) -K
For the set of numbers 2,2, 4,5 and 12 which of the following statements is true?
- (a)
Mean = Median
- (b)
Mean> Mode
- (c)
Mean < Mode
- (d)
Mode = Median
A cricketer has a mean score of 60 runs in ten innings. Find the number of runs that are to be scored in the eleventh inning to raise the mean score to 62.
- (a)
62
- (b)
78
- (c)
58
- (d)
82
The mean of 20 numbers is 40. If 5 is subtracted from every number, what will be the new mean?
- (a)
45
- (b)
40
- (c)
20
- (d)
35
If the mean of 9 observations p, p + 2, P + 4, p + 6, p + 8, p - 2, P - 4, P - 6 and p - 8 is 10. Find the mean of the least 5
observations.
- (a)
6
- (b)
25
- (c)
10
- (d)
9
The median of the data 26,56,32,33,60, 17,34,29,45, is 33. If 26 is replaced with 62, what is the new median?
- (a)
34
- (b)
29
- (c)
32
- (d)
33
The number of children in 10 families of a locality are 1, 4, 3, 3, 4, 2, 2, 3, 3 and 5. Find the mean number of children per family.
- (a)
3
- (b)
4
- (c)
1
- (d)
2
Find the class mark of the class 90 - 120
- (a)
90
- (b)
105
- (c)
115
- (d)
120
If the mean of 6, y, 7, 14 and x is 8. Then, the value of x + Y is_____________.
- (a)
13
- (b)
12
- (c)
10
- (d)
15
If the mode of the data 4, 3, 2, 5, x, 4, 5, 1, 7,3,2, 1 is 4, then value of x is____________.
- (a)
4
- (b)
3
- (c)
2
- (d)
1
The mean of 13 observations is 14. If the mean of the first 7 observations is 16 and that of the last 7 observations is 12, then the 7thobservation is______________.
- (a)
12
- (b)
14
- (c)
16
- (d)
18
Find the mode of the given data.
7,4,3,5,6,3,3,2,4,3,4,3,3,4,4,3,2, 2,4,3,5,4,3,4,3,4,3,1,2,3
- (a)
3
- (b)
4
- (c)
5
- (d)
2
If \(\overline { x } \) is the mean of x1, x2, xn, then for ≠ 0, the mean of ex., ax2,...., axn,\(\frac { { x }_{ 1 } }{ a } \), \(\frac { { x }_{ 2} }{ a } \), \(\frac { { x }_{ n } }{ a } \) is______________.
- (a)
\(\left( a+\frac { 1 }{ a } \right) \overline { x } \)
- (b)
\(\left( a+\frac { 1 }{ a } \right) \frac { \overline { x } }{ 2 } \)
- (c)
\(\left( a+\frac { 1 }{ a } \right) \frac { \overline { x } }{ n } \)
- (d)
\(\frac { \left( a+\frac { 1 }{ n } \right) \overline { x } }{ 2n } \)
If mean of the following data is 11. Find the value of P.
| Xi | 13 | 5 | 7 | 19 | 11 | 13 |
| Yi | 6 | 8 | P | 11 | 8 | 4 |
- (a)
11
- (b)
15
- (c)
17
- (d)
13
In a class test, in Mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 students scored 40 marks and 3 students scored 30 marks. The mean of their score is (approximately)___________.
- (a)
57 marks
- (b)
56 marks
- (c)
15 marks
- (d)
54 marks
In a class, the mean weight of 60 students is 40 kg. The mean weight of boys is 50 kg while that of the girls is 30 kg. The number of boys and girls respectively are_____________.
- (a)
30,30
- (b)
25,35
- (c)
35, 25
- (d)
20,40
State 'T' for true and 'F' for false.
(i) If the number of observations is even, then the median is mean of\({ \left( \frac { n }{ 2 } \right) }^{ th }\) and \({ \left( \frac { n }{ 2 } +1 \right) }^{ th }\) terms.
(ii) After four vertical lines for a tally marks, if the tally marks occurs for the fifth time, then the fifth line is put vertically with previous four lines.
(iii) If the range of the data with minimum value 16, is 87, then the maximum value is 71.
(iv) Mode of the data, 14,71,51,91,15,2,15,51,19,41,51,15,51 is 51.
(v) Mean of first ten natural numbers is 5.5.
- (a)
(i) (ii) (iii) (iv) (v)
T F T T T - (b)
(i) (ii) (iii) (iv) (v)
F F T T T - (c)
(i) (ii) (iii) (iv) (v)
T F F T T - (d)
(i) (ii) (iii) (iv) (v)
T F T F T
