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The ratio of the sum of observations and the total number of observations is called:
The ratio of the sum of observations and the total number of observations is called Mean
The mean of \(x+2, x+3, x+4\) and \(x2\) is:
Mean =
The median of the data: 4, 6, 8, 9, 11 is
h = odd so we will use odd number formula
It mean third observation
Hence median = 8
The median of the data: 155 160 145 149 150 147 152 144 148 is
arrange the data in ascending order.
Since, the number of observations here is odd, therefore,
Median = number
The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is:
Arrange the given data in ascending order:
Since, the number of observations given here is even, hence,
Median will be average of two middle terms.
term
term
Therefore,
Median =
The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9 is;
First arrange the data in order:
2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 9, 9, 9, 9, 10, 10
Hence, mode = 9
The value which appears very frequently in a data is called:
The mode of a data set is the value that occurs most often. A data set can have no mode, one mode, or more than one mode.
The collection of information, collected for a purpose is called:
The collection of information collected for a purpose is called Data.
The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is
Mean =
Which of the following is not a measure of central tendency?
Standard deviation is not a measure of central tendency
What are the groups into which large data is condensed called?
The groups into which large data is condensed are called classes.
A class is of the form 10 – 20, where 10 is lower class limit and 20 is upper class limit. The class 10 – 20 means all the observations which are greater than or equal to 10 and less than 20.
Find the mean of first five whole numbers.
The relative humidity (in %) of a city for 10 days are
92.1. 97.1, 95.7, 93.3, 89, 96.2, 94.9, 97.3, 92.1, 98.3. The range is
98.3 – 89 = 9.3
The demand for different shirt sizes are. Find the modal shirt size
The frequency of the size 39 is highest so mode is 39.
Find the median of first ten prime numbers
In a school 90 boys and 30 girls appeared for a public examination. The mean marks of boys was found to be 45% where as the mean marks of girls was 70%. The average marks % of the school is
Total mark of 90 boys
Total mark of 30 girls
Total marks
Average
What is a graph drawn with the midpoints of the top sides of the rectangle forming the histogram of a frequency distribution called?
What do we call the value in a data around which the values of all the other observations tend to concentrate?
Measure of central tendency is the central value of the data around which the values of the other observations tend to concentrate.
Of the class intervals 1020, 2030 the number 20 is included in which of the following ?
20 will be counted in the 2030 group.
Hence, 2030 is the correct answer.
The arithmetic mean of 30, 36, 39, 23, 27 is
The median of given observation arranged in ascending order is 25.
11, 13, 15, 19, p + 2, p + 4, 30, 35, 39, 46. Find p
The mean of first 8 observation is 18 and last 8 observation is 20. If the mean of all 15 observation is 19. The 8 observation is
The midpoint of a class is m and l is the upper class limit in a continuous frequency distribution. Which of the following would be the lower class limit of the class?
The width of each of nine classes in a frequency distribution as 2.5 and the lower class boundary of the lower class is 10.6. What is the upper class boundary of the highest class?
Total width
Upper class boundary
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
Let = lower limit
= upper limit
on solving
In a frequency distribution ogives are graphical representation of
In a frequency distribution, ogives are graphical representation of cumulative frequency.
Apart from plotting frequencies of the class intervals. Which of the following are used to construct a frequency polygon?
The mean of n observations is \(\bar x \). If each observation is multiplied by k. The mean of new observation is
Let the observation be
….(1)
Every observation is multiplied by k
New observation are
New mean
[From (1)]
The mean of 75 numbers is 25. If each number is divided by 5. The new mean is
Sum
New mean
The median of the given data is 0, 2, 2, 2, 3, 5, 1, 5, 5, 3, 6, 6, 5, 6
Median =