A researcher computed the mean , median and standard deviation for a set of performance score . If 5 were to be added to each score , which of these three statistics would change ?

A The mean only
B The median only
C The standard deviation only
D The mean and median only

Correct Answer: The mean and median only

When we put additional data in statistical calculation, mean and median changes but it is not necessarily true that the standard deviation will change. Standard deviation may remain the same even after adding additional set of data.
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#গণিত #Bangladesh Bank #Bangladesh Bank - Assistant Director - 2011 #পরিসংখ্যান (Statistics)

Related Questions

A researcher computed the mean, the median and the standard deviation for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
A The mean only
B The median only
C The standard deviation only
D The mean and the median
Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?
A 81
B 81.5
C 82
D 84.5
Three math classes , X, Y , and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all student classes Y and Z together is 81. What is the average for all the three classes?
A 81
B 81.5
C 82
D 84.5
A,B,C,D,E,G and I are seven friends who study in three different standards namely 5th, 6th and 7th such that not less than two friends study in the same standard. Each friend also has a different favorite subject namely History, Civics, English, Bangla, Science , Maths , and Economics but not necessarily in the same order. A likes Maths and studies in the 5th standard with only one other friend who likes Bangla. I studies with tow other friends . Both the friends who study with I like languages (Here languages include only Science , English and Bangla ) . D studies in the 6th standard with only one person and does not like Civics . E studies with only one friend . The one who likes history does not study in 5th or 6th standard . E does not like languages. C does not like English , Science or Civics. Which combination represents E's favorite subject and the standard in which he studies?
A Civics and 7th
B Economics and 5th
C Civics and 6th
D History and 7th
Of the 50 researcher in a work group 40% will be assigned to team A and the remaining 60% to team B. However 70% of the researcher prefers team A and. 30% prefer team B. What is the least possible number of researchers who will not be assigned to the team they prefer?
A 15%
B 20%
C 25%
D 30%
The batting average for 40 innings of a cricket player is 50 runs. His higest score in an innings exceeds his lowest score by 172 runs. if thse two innings are excluded, the average score of the remianing 38 innings is 48 runs . Find his highst score in an innings
A 180 runs
B 170 runs
C 174 runs
D 168 runs
In a cricket tournament 30,000 tickets were sold. One-fourth of the tickets were sold at TK. 30 each, 1/3 were sold at TK. 25 each, and the remaining tickets were sold at TK. 20 each. How many tickets were sold at TK. 20 each ?
A 10,000
B 12,000
C 12,500
D 13,500
The average score of students on a certain exam was 85.50. On the same exam Raju scored 90. What was Raju's percent deviation from the average score?
A 4.5%
B 5%
C 5.4%
D 6%
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded then the average of the remaining 38 innings becomes 48 nuns. what is his highest score?
A 178
B 182
C 174
D 173
Select the correct answer choice of the following Question : "The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded then the average of the remaining 38 innings becomes 48 runs. What is his highest score?"
A 178
B 182
C 174
D 173

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