# Define Statistics in Mathematics.

Statistics: A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.
Data: Collection of meaningful informations.
Two types of Data: Ungrouped data and Grouped data

Measure of Central Tendency: It means a center or location of the distribution. The most common measures of central tendency are the arithmetic mean, the median, and the mode

Empirical relationship between three measures of central tendency: Mode = 3 Median – 2 mean

Median class: A class where the cumulative frequency reaches half the sum of the absolute frequencies.
Modal Class: A class interval having maximum frequency.

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### Related FAQs

Q. Find the range of the observations 255,125,130,160,185,170,103.

Ans: Smallest and Largest  term in the given observation are Xl  = 103 and Xm  = 255 Hence Range of the given distribution is = Xm  -  Xl   = 255  -&... read more

Q. Find the mean of first 5 prime numbers.

Ans: The first five prime numbers are: 2, 3, 5, 7, 11 mean = number of observations / total observations. number of observations = 2, 3, 5, 7, 11 total observations = 5 = (2+3+5+7+11) / 5 =  28 /... read more

Q. The difference between upper limit and lower limit is known as _____________

Ans: The difference between upper limit and lower limit is known as  'range OR Class Size' Class Size = Upper Limit – Lower Limit Range  = Highest observation – Lowest o... read more

Q. The Empirical relationship between three measures of central tendency is ______________________

Ans: Empirical relationship between three measures of central tendency: Mode = 3 Median – 2 mean... read more

Q. The median and mode respectively of a frequency distribution are 26 and 29, Then its mean is

Ans: Given part:- Median = 26 Mode = 29 As we know that :- Mode = 3*Median - 2*Mean 29 = 3*26 - 2*Mean 2*Mean = 78 - 29 2*Mean = 49 Mean = 49/2 = 24.5 Hence the mean is 24.5... read more

Q. 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

Ans: Let in the frequency distribution x and y be the upper and lower class limit. Here the mid value of the class is 10 So (x + y)/2 = 10 x + y = 20   --------------------(1) It is given t... read more

Q. If the difference of mode and median of a data is 24, then the difference of median and mean is

Ans: It is given that mode - median = 24   -------------(1) As we know that mode = 3median - 2mean mode = median + 2median - 2mean mode -median = 2median - 2mean Using equation (1) 2... read more

Q. The mean weight of 9 students is 25 kg. If one more student is joined in the group the mean is unaltered, then the weight of the 10th student is

Ans: As the mean weight of 9 students is 25 kg And the mean weight of 10 students is 25 kg Now total weight of 9 students is = 9 x 25 kg = 225 kg And total weight of 10 students is = 10 x 25 kg = 250 ... read more