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Which of the following is a measure of central tendency?
In statistics, a central tendency is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages. So we have 3 measures of central tendencies namely, mean , median and mode. So mean is the answer as the other three options are the components of the given distribution.
Class mark is the mean of the upper limit and lower limit of the class. The class mark is a specific point in the center of the interval in a frequency distribution table. It is defined as the average of the upper and lower class limits. So formula is Class mark =
We have Mean =
The mean of the following data 1^{2}, 2^{2}, 3^{2},.......n^{2} is –
The mean of the following data is 18.75 then the value of p is –
Which of the following can not be determined graphically –
Mode is the value with the maximum frequency. Thus, it can be determined from the graph.
Median is the middle value of the data. Thus, it can be determined from the graph.
Mean is the ratio of sum of all data values and the total number of values. Thus, it cannot be determined graphically.
The bell curve or standard deviation graph is used to visualise the spread of data. The standard deviation tells how much the data is clustered around the mean of the data. Lower standard deviation tells that the data is less spread and higher standard deviation tells that data is more spread.
If the median of the following data is 40 then the value of p is –
Mean = Mode + 3/2 [Median – Mode]
Mean= Mode+3/2 Median3/2Mode
2 Mean=2 Mode+3 Median3 Mode
3 Median=2 Mean + Mode
So C is the correct answer.
In the formula for mode of a grouped data, mode = where symbols have their usual meaning f0 represents :
f_{1} is the frequency of the modal class.So , f_{0 }is the frequency of the class preceding the modal class. So C option is correct.
Median of a given frequency distribution is found with the help of a –
The measure of central tendency which is given by the xcoordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is –
The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.
Mean = Sum of Observations/Total No of Observations
Mean = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 ÷ 10
Mean = 55/10
Mean = 5.5
Stepbystep explanation:mean=2+3+5+7+11+13+17+19+23+29/10
Mean=129/10
Mean=12.9
The marks obtained by 9 students in Mathematics are 59, 46, 31, 23, 27, 40, 52, 35 and 29. The mean of the data is
The mean is the average of the numbers.
So, Mean =
Mean= =342/9=38
Natural numbers start from 1
First ten natural odd numbers=1,3,5,7,9,11,13,15,17,19
Mean =
So mean is 10.
We have first ten multiples of 6 as follows:
6,12,18,24,30,36,42,48,54,60
The marks obtained by 9 students in Mathematics are 59, 46, 31, 23, 27, 44, 52, 40 and 29. The mean of the data is
The mean is the average of the numbers.
So, Mean =
Mean= 351/9=39
The arithmetic mean of a set of 40 values is 65. If each of the 40 values is increased by 5, what will be the mean of the set of new values:
We have mean =
Mean =
Now each value is increased by 5
Mean =
+5=65+5=70
Hence the mean is 70
The mean of 25 observations is 36. If the mean of first 13 observations is 32 and that of the last 13 observations is 39, then the 13th observation is
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