# Measures of Central Tendency - A Short Test

Karl-Pearson’s coefficient of skewness of a distribution is 0.32. Its S.D. is 6.5 and mean 39.6. Then the median of the distribution is given by ____.
28.61
38.81
29.13
28.31
For a symmetrical distribution  and , the median is ____.
20
25
35
None of the above
The S.D of 15 items is 6 and if each item is decreased or increased by 1, then standard deviation is ____.
5
7
91/15
6
The A.M. of n observations is M. If the sum of  observations is a, then the mean of remaining 4 observations is ____.
n M + a
The following item consists of two statements, one labelled as the ‘Assertion (A)’ and the other as ‘Reason (R)’. You are to examine these two statements carefully and select the answers to these items using the codes given below: Codes: Assertion: The mean of x1, x2, x3, x4, x5, x6, x7, x8 and x9 which are in an arithmetic progression is x5. Reason: Mean is always the middle-most observation if the data are in an arithmetic progression.
Both A and R are individually true and R is the correct explanation of A.
Both A and R are individually true but R is not correct explanation of A.
A is true but R is false
A is false but R is true
A student represents his scores in Mathematics, Statistics and Economics in a pie chart. The central angle for Mathematics is 120o. He scored 96 in Statistics and 84 in Economics. The central angle for Statistics is:
116o
128o
192o
212o
If a set of data has zero as an observation, then which one of the following is NOT an appropriate measure of central tendency?
Arithmetic mean
Geometric mean
Median
Mode
The following questions consist of two statements. One labelled as the Assertion (A) and the other as the Reason (R). You are to examine these two statements carefully and answer the questions using the coeds given below: Codes: Assertion (A): In its market survey, a company dealing in ready-made shirts, tries to determine the mean of the data collected for ascertaining the size requirements of maximum number of users. Reason (R): Model is the value, which occurs with greatest frequency.
Both A and R true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A.
A is true, R is false
A is false, R is true
/
Both A and R true and R is the correct explanation of A.
Both A and R are true but R is not the correct explanation of A.
A is true, R is false
A is false, R is true
If half the range of the increasing series {13, A, 25, B, C, 58, 81} is equal to its median, what is the median of the series?
31
35
36
34
38
The mean daily profit made by shopkeeper in a month of 30 days was Rs.350. If the mean profit for the first fifteen days was Rs.275, then mean profit for the last fifteen days would be:
Rs.200
Rs.275
Rs.350
Rs.425
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Questions Based on Different Quantities Related to Central Tendency has been asked . Few questions are 'Assertion- Reason ' type as asked in IIT-JEE exam

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Kajal Sengupta
Physics 9th to 12 th grade,CIE, Edexcel, AP, IB , CBSE, ICSE 87 Members Recommend
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