HARD
Earn 100

What are the merits and demerits of median. Calculate the median from the following distribution:

Class: 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45
Frequency: 5 6 15 10 5 4 2 2

Important Questions on Statistics

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 median of the following frequency distribution is equal to

X: 5 7 9 12 14 17 19 21
Y: 6 5 3 6 5 3 2 4
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

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?
EASY

Consider the following frequency distribution:

Class: 0-6 6-12 12-18 18-24 24-30
Frequency: a b 12 9 5

If mean =30922 and median =14, then the value (a-b)2 is equal to

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

Find median from the following data:

Marks 0-10 10-30 30-60 60-80 80-90
No. of students 5 15 30 8 2
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

Consider the following frequency distribution :

class 10-20 20-30 30-40 40-50 50-60
Frequency α 110 54 30 β

If the sum of all frequencies is 584 and median is 45, then |α-β| is equal to            .

MEDIUM

In a survey, the speeds of 100 vehicles were observed. The following table gives the distribution of vehicle speed and the corresponding number of vehicles.

Vehicle Speed kmph No. of Vehicles
20 6
25 20
28 24
29 28
33 15
38 4
40 2
45 1

The median speed of the vehicles is:

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
MEDIUM
The median of all 4- digit numbers that are divisible by 7 is
MEDIUM
Let n≥3. 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 arithmetic mean of C0n, C1, C2nn…, Cnn is
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 :
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:
EASY

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

Question Image

 

MEDIUM
If the median of 21 observations is 40 and if the observations greater than the median are increased by 5, then the median of the new data will be
EASY
If a variable takes the discrete values α+4, α-72, α-52, α-3, α-2, α+12,  α-12, α+5α>0, then the median is
HARD
Let x1,x2,,x11 be 11 distinct positive integers. If we replace the largest of these integers by the median of the other 10 integers, then