EASY
Earn 100

_____ is equal to the value corresponding to cumulative frequency (N+1)/4 from simple frequency distribution

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Important Questions on Measures of Central Tendency

MEDIUM
In a set of 2n distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations :
MEDIUM
The average incomes of the people in two villages are P and Q, respectively. Assume that PQ. A person moves from the first village to the second village. The new average incomes are P' and Q', respectively. Which of the following is not possible?
MEDIUM
Let n3. A list of numbers x1, x2,..,xn has mean μ and standard deviation σ. A new list of numbers y1, y2,..,yn is made as follows: y1=x1+x22,y2=x1+x22 and yj=xj for j=3, 4,,n. The mean and the standard deviation of the new list are μ^ and σ^. Then which of the following is necessarily true?
EASY
The mean and the median of the following ten numbers in increasing order 10, 22, 26, 29, 34, x, 42, 67, 70, y are 42 and 35 respectively, then yx is equal to:
MEDIUM

The mean of a data set comprising of 16 observations is 16. If one of the observation value 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data is

EASY

The following is the price of Cabbage over 12 months. What is the median price?

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EASY
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is
EASY
Find the difference of mean and Median value of 5,8,2,6,9,15,12,18 of the number?
EASY
A factory is operating in two shifts, day and night, with 70 and 30 workers, respectively.If per day mean wage of the day shift workers is, 54 and per day mean wage of all the workers is 60, then per day mean wage of the night shift workers (in ) is :
EASY
The arithmetic mean of C0n, C1, C2nn, Cnn is
MEDIUM
If both the mean and the standard deviation of 50 observations x1, x2, , x50 are equal to 16, then the mean of x1-42, x2-42, ,x50-42 is
EASY
The probable value of mean deviation when Q3=40 and Q1=15 is
MEDIUM

If for some xR, the frequency distribution of the marks obtained by 20 students in a test is:

Marks 2 3 5 7
Frequency distribution x+12 2x-5 x2-3x x

Then the mean of the marks is :

MEDIUM

The mean and median of  7, 5, 5, 2, 7, 6, 5, 3, 7, 6 is-

1. 5.3 and $5$

2. 5 and $5.5$

3. 5 and $6$

4. 5.3 and $5.5$

 

EASY
The scores obtained by a team in kabaddi series is as follows: 
17,2,7,27,15,5,14,8,10,24,48,10,8,7,18,28. Find the mean score obtained by the team? 
EASY
The arithmetic mean of a set of observation is X¯. If each observation is divided by α and increased by 10, then the mean of the new series is
EASY

What is the median of the following list of numbers?

5, 3, 6, 9, 11, 19 and 1

MEDIUM
If the mean of a set of observations x1, x2, x10 is 20 , then the mean of x1+4, x2+8, x3+12, x10+40 is
HARD

 40 40 students enter for a game of shot-put competition. The distance thrown (in metres) is recorded below:

Distance in m 12-13 13-14 14-15 15-16 16-17 17-18 18-19
Number of students 3 9 12 9 4 2 1

Use  a graph paper to draw  an ogive for the above distribution.

Use a scale of 2 cm=1m on one axis and 2 cm=5 students on the other axis. Hence using graph find Upper Quartile.