# Elementary Statistics Questions and Answers

## Questions on Elementary Statistics

Statistics is one of the most important and powerful tool which is helpful in all the fields of work. The branch of mathematics that deals with the study of the collection, organization, analysis, interpretation and presentation of data (information) is referred to as Elementary Statistics. On this page you’ll come across some of the rules, formulas and questions on elementary statistics. This field can be categorized into two parts which are – Descriptive Statistics and Inferential Statistics.

• Descriptive statistics are a series of short descriptive coefficients that summarize a data set, which might be a representation of the complete population or a sample of the population. Measures of central tendency and measures of variability are two types of descriptive statistics (spread).
• Inferential statistics are used to generate generalizations about a population using data from samples.
This entails using a statistic from your sample data (such as the sample mean) to make a claim about a population parameter (i.e. the population mean).

### Rules for Elementary Statistics

Mean:Mean can  be defined as the sum of all the elements divided by number of all elements.

$Mean=\frac {\text{sum of all the elements}}{\text{number of elements}}$

Median:Median is defined as the middle value of a set of data. If a set consists of an odd number of values, then the middle value will be the median of the set.Else, if the set consists of an even number of sets, then the median will be the average of the two middle values.

Mode:The mode can be defined as the most frequent value in the given set of data.

Variance:Variance is used to calculate the standard deviation.It is always positive.

Standard deviation:It is the square root of the variance.

Also Read – Formulas for Elementary Statistics

How to solve Quickly Elementary Statistics

Tips and Tricks on Elementary Statistics

Question 1

Time: 00:00:00
If the variance of 5 values is 10.6. What is the standard deviation of those values

4.35

4.35

3.25

3.25

2.85

2.85

25.65

25.65

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Question 2

Time: 00:00:00
In a moderately asymmetrical series, the values of arithmetic mean and mode are 26.1 respectively. The value of the median is

35.3

35.3

28.0

28.0

22.43

22.43

25.1

25.1

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Question 3

Time: 00:00:00
The median of the following ages of employees of an office is: 31, 35, 27, 29, 43, 37, 41, 35, 30

31

31

30

30

37

37

35

35

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Question 4

Time: 00:00:00
The annual production (in tones) of two crops(kharif and rabi) during a period of 5 years is given below:
Kharif = 32, 48, 50, 36, 34
Rabi = 25, 40, 35, 75, 25
Which statement is correct?

Both are equal

Both are equal

Kharif is more consistent than Rabi

Kharif is more consistent than Rabi

Rabi is more consistent than Kharif

Rabi is more consistent than Kharif

Cannot be determined

Cannot be determined

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Question 5

Time: 00:00:00
The standard deviation of 11 values is 7. If each value is increased by 9, then find the variance of the new set of values

49

49

16

16

19

19

7

7

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Question 6

Time: 00:00:00
The mean of the runs scored by three batsmen Sehwag,Tendulkar and Gambhir in a test series are 58, 48 and 147 respectively. The S.P. of their runs are 15, 12 and 2 respectively. Who is the most consistent batsman?

Sehwag

Sehwag

Tendulkar

Tendulkar

Gambhir

Gambhir

Cannot be determined

Cannot be determined

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Question 7

Time: 00:00:00
If the heights of arun, ajay, aman, aradhya and praagy are 142 cm, 150 cm, 149 cm, 156 cm, and 153 cm.
Find the mean height.

150

150

152

152

151

151

150.5

150.5

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Question 8

Time: 00:00:00
We have data whose mode = 65 and median = 61.6.

Then, we can find the mean using the above mean, median, and mode relation.

60

60

60.2

60.2

59.9

59.9

61

61

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Question 9

Time: 00:00:00
The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number.

25

25

26

26

27

27

28

28

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Question 10

Time: 00:00:00
What is the mean and mode of given data

12, 24, 45, 23, 12, 4,12, 24, 4

17.8, 12

17.8, 12

17, 12

17, 12

17.4, 12

17.4, 12

16, 12

16, 12

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Question 11

Time: 00:00:00
The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 54. Find the value of x and also the value of the observation in the data.

11

11

17

17

9

9

13

13

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Question 12

Time: 00:00:00
The runs scored in a cricket match by 11 players is as follows:
7, 16, 121, 51, 101, 81, 1, 16, 9, 11, 16
Find the mean, mode, median of this data.

39, 16, 16

39, 16, 16

40, 16, 16

40, 16, 16

49, 16, 16

49, 16, 16

39.09, 16, 16

39.09, 16, 16

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Question 13

Time: 00:00:00
The weights in kg of 10 girls are given below:
39, 43, 36, 38, 46, 51, 33, 44, 44, 44
Find the mode of this data

46

46

39

39

44

44

43

43

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Question 14

Time: 00:00:00
Find the Mode for the Frequency Distribution given below:

Solution:
Modal Class = 30 - 40 ( This is the class with the highest Frequency).
Lower level of the modal class (l) = 30
Frequency of the modal class (f1) = 55
Frequency of class interval succeeding the modal class (f2) = 44
Frequency of class interval preceding the modal class (f0) = 30
Width of the class interval (h ) = 10.

36.9

36.9

36.94

36.94

36

36

36.944

36.944

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Question 15

Time: 00:00:00
Stefan scored the following on his last seven math tests (out
of 100): 70, 80, 70, 90, 80, 100, 70
What is the mean of Stefan ’s test scores?

A. 280

A. 280

B. 90

B. 90

C. 80

C. 80

D. 70

D. 70

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