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The range of the data:- 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19,8, 11, 20 is
In a frequency distribution, the Mid value of a class is 10 and the width of the class is 6. The lower limit of the class is
Class
Lower limit
The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is
Let m be the midpoint and l be the upper class limit of a class in a continuous frequency distribution. The lower class limit is
The class marks are 15, 20, 25……
The class corresponding to the class mark 20 is
Class corresponding to the class mark
In the class intervals 10-20, 20-30 the number 20 in included in
20 is included in 20 – 30
To draw a histogram to represent the following frequency distribution:-
The adjusted frequency for the class 25-45 is
Adjusted frequency = 10 – 8 = 2
The mean of 5 numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is
Sum of 5 numbers
Sum of 4 numbers
Excluded numbers
The mean of 100 observations is 50. If one of the observation which was 50 is replaced by 150. The resulting mean will be:-
The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is
22, 34, 39, 45, 54, 54, 56, 78, 84
Median = 54
Mode of the data 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15 is
15 occur most of the times so 15 is the mode
The arithmetic mean is 25. Determine the value of p.
The mean of 6 numbers is 20. If one number is deleted their mean is 15. Find the deleted number.
Sum of 6 numbers
Sum of 5 number
Deleted number
The mean of a, b, c, d, e is 28. If the mean of a, c, e is 24. What is the mean of b and d
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. What is the lower limit of the class?
Let = lower limit
= upper limit
The average of \(10 \) numbers is \(12 \). What should be added as \(\mathrm{11^{th}} \) number to make the average \(13 \)?
Sum of numbers
Sum of 11 numbers number
Which of the following is the empirical relation between mean, mode and median?
mode = 3 median – 2 mean
If the mean of 9 observation p, p + 2, p + 4, p + 6, p + 8, p – 2, p – 4, p – 6 and p – 8’ is 10. Find the mean of the least 5 observations.
Least observation are 10, 8, 6, 4, 2
Mean
Find the median of 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5, 6
No. of observation (n)
Median =
For what value of n, the mode of the following data is 18?
2, 5, 3, 18, 5, 18, 6, 5, n, 7, 18
There are three 5 and three 18. For mode to be 18, n = 18
There are 150 numbers. Each number is subtracted from 60 and the mean of the numbers so obtained is found to be -4.5.
The mean of the given numbers is
Mean of number = 60 + (-4.5) = 55.5
The median and mean of the first 10 natural numbers are
Mean
median
The following observations are arranged in ascending order.
20, 23, 42, 53, x, x+2, 70, 75, 82, 96 If the median is 63 Find the value of x
Median is mean of and
term.
The mean of 20 observations was 60. It was detected on rechecking that the value of 125 was wrongly copied as 25 for computation of mean. Find the correct mean.
Let x be the sum of observation of 19 numbers leaving 125.
subtracting (1) form
(2)
Find x and y so that the ordered data set has a mean of 42 and a median of 35.
17, 22, 26, 29, 34, x, 42, 67, 70, y
Mean
What do you call the value in a data around which the values of all the other observations tend to concentrate?
The value in a data around which the values of all the other observations tend to concentrate is measure of central tendency.
The following is a chart showing the temperature of a patient.
What is the temperature of the patient at 21 hours?
The following is a chart showing the temperature of a patient.
What is the percentage increase in temperature between 9 hours and 15 hours?
Kavita obtained 16, 14, 18 and 20 marks out of 25 in Maths in weekly tests in the month of Jan 2000 ; then mean marks of Kavita is:
Mean marks
The median of first 12 prime numbers is :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
17 is median