Statistics Test

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Statistics Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

A set of data consists of six numbers: 7, 8, 8, 9, 9 and x. The difference between the modes when x = 9 and x = 8 is

A
3

B
4

C
1

D
2

Solution

The mode in a list of numbers refers to the integers that occurs most number of times.

In the given list both 8 and 9 occur two times.

so the value of will decide the mode

if x=8, then mode will be 8

if x=9, then mode will be 9

hence, differnce between two modes is 1
Question 2
1 / -0

The numbers 2, 3, 4, 4, 2x + 1, 7, 7, 8 and 9 are written in an ascending order. If the median is 7, then mode of this data is

A
8

B
7

C
9

D
4

Solution

The median is the middle score for a set of data that has been arranged in ascending or descending order of magnitude.

since 2x+1 is in the middle of the arranged numbers, so it is median

hence,2x + 1 = 7

now since 7 occurs more number of times then other numbers so mode of the list is 7
Question 3
1 / -0

For frequency distribution, mean, median and mode are connected by the relation :

A
Mode = 3 Mean – 2 Median

B
Mode = 3 Median + 2 Mean

C
Mode = 3 Median – 2 Mean

D
Mode = 2 Median – 3 Mean

Solution

for frequency distribution: mean, mode & median connected by the relation

mean − mode = 3 (mean − median)

thus,

mode = 3median − 2mean
Question 4
1 / -0

For which set of data does the median equal the mode ?

A
3, 3, 4, 5

B
3, 4, 5, 6, 6

C
3, 3, 4

D
3, 3, 4, 5, 6

Solution

The median is the middle score for a set of data that has been arranged in ascending or descending order of magnitude.

mode in a list of numbers refers to the integers that occurs most number of times.

for the above list of observations

both median and mode is 3
Question 5
1 / -0

A grouped frequency distribution table with classes of equal sizes using 105-120 (120 not included) as one of the class intervals is constructed for the following data: The number of classes in the distribution will be

125 126 140 98 128 78 108 67

87 149 102 136 145 112 103 84

123 130 120 89 103 65 96 65

A
4

B
7

C
5

D
6

Solution

Maximum value of the observation is 149 & minimum value is 65.
This range of data need to grouped into classes of equal sizes with 105-120 as one class.
Thus we need to construct classes of width 15.
Below 6 classes can be constructed
60-75, 75-90, 90-105, 105-120, 120-135, 135-150
Question 6
1 / -0

For the frequency distribution given below, the adjusted frequency for the class 25-45 is:

Class Interval 5-10 10-15 15-25 25-45 45-75

Frequency 6 12 10 8 15

A
2

B
3

C
6

D
5

Solution

Adjusted frequency for the class 25-45 is

10 - 8 = 2

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Re-Attempt Weekly Quiz Competition

125	126	140	98	128	78	108	67
87	149	102	136	145	112	103	84
123	130	120	89	103	65	96	65

Class Interval	5-10	10-15	15-25	25-45	45-75
Frequency	6	12	10	8	15

125	126	140	98	128	78	108	67
87	149	102	136	145	112	103	84
123	130	120	89	103	65	96	65

Statistics Test - 9

Result

Statistics Test - 9

Score

-

Rank

-

SHARING IS CARING

Question 1

3

4

1

2

Solution

Question 2

8

7

9

4

Solution

Question 3

Mode = 3 Mean – 2 Median

Mode = 3 Median + 2 Mean

Mode = 3 Median – 2 Mean

Mode = 2 Median – 3 Mean

Solution

Question 4

3, 3, 4, 5

3, 4, 5, 6, 6

3, 3, 4

3, 3, 4, 5, 6

Solution

Question 5

4

7

5

6

Solution

Question 6

2

3

6

5

Solution

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125	126	140	98	128	78	108	67
87	149	102	136	145	112	103	84
123	130	120	89	103	65	96	65