Measures of Cen...

The exam scores of all 500 students were recorded and it was determined that these scores were normally distributed. If Jane's score is 0.8 standard deviation above the mean, then how many, to the nearest unit, students scored above Jane?

The AM of first $$5$$ whole numbers is:

The ages of 40 girls in a class are given below:

Age (in years)	14	15	16	17	18
Number of girls	5	8	15	10	2

Find the mean age.

Which measures of central tendency get affected if the extreme observations on both the ends of  a data arranged in descending order are removed ?

In the formula $$x=a+h(f_i u_i/ f_i)$$, for finding the mean of grouped frequency distribution, $$u_i=$$

The marks obtained by $$19$$ students of a class are $$27, 36, 22, 31, 25, 26, 33, 24, 37, 32, 29, 28, 36, 35, 27, 26, 32, 35$$ and $$28$$. Find the upper quartile.

Consider the following data:

$$X$$	$$1$$	$$2$$	$$3$$	$$4$$	$$5$$
$$f$$	$$3$$	$$5$$	$$9$$	-	$$2$$

The arithmetic mean of the above distribution is $$2.96$$. What is the missing frequency?

Find the value of $$n$$, if the median of the numbers $$n + 3, n + 7, .... n + 31, n + 35$$ is $$30$$.

The variate of a distribution takes the values $$1, 2, 3, ...n$$ with frequencies $$n, n -1, n -2,... 3, 2, 1.$$ then mean value of the distribution is

$$X$$	$$0$$	$$1$$	$$2$$	$$3$$	$$4$$
Frequency	$$4$$	$$f$$	$$9$$	$$g$$	$$4$$

The table above gives the frequency distribution of a discrete variable $$X$$ with two missing frequencies. If the total frequency is $$25$$ and the arithmetic mean of $$X$$ is $$2$$, then what is the value of the missing frequency $$f$$?