1. The marks obtained (out of 50 ) by 40 students in a class are given below in the table.
Find the (i) mode (ii) median (iii) mean (iv) variance (v) standard deviation, of the above data.
2. The following observations are arranged in ascending order. The median of the data is 25 find the value of x.
17, x, 24, x + 7, 35, 36, 46
3. The mean of the following distribution is 2.6. Find the value of p and also the standard deviation of the observations.
Also, find the mode of the given data.
4. Suppose 40 students have taken an examination in Mathematics. The marks of the examination are :
(a) Construct a frequency distribution by using classes of size 10 starting with the class interval 20–29
(b) Present the frequency distribution in (a) in form of a frequency polygon
(c) Estimate the mode and interpret the value you get
(d) Estimate the median, lower quartile, upper quartile, fourth decile and the twenteth percentile and interpret the values you get
(e) Compute the mean, variance and standard deviation of the marks
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