CBSE Class 10 Maths HOTs Statistics Set A

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Additional question

Chapter 14. Statistics

1. What is the mean of all the prime numbers less than 20?

2. What measure of the central tendency is represented by the abscissa of the point where less than ogive and more than ogive intersect?

3. Median and mode for a distribution are 22 and 20 respectively. Find the mean of the distribution.

4. The mean of the following frequency table is 53. Find the missing frequencies.

Please refer to link below for CBSE Class 10 Mathematics HOTs Statistics Set A

l = lower limit of the median class.

n = number of observations

Cf = Cumulative frequency of class interval

        preceeding the median class.

f = frequency of median class

h = class size.

4. Imperical Formula :- Mode = 3 median – 2 mean

5. Cumulative frequency Curve or An Ogive :-

(i) Ogive is the graphical representation of the cumulative frequency distribution.

(ii) Less than type Ogive :-

* Construct a cumulative frequency table

* Mark the upper class limit on the x=axis

(iii) More then type Ogive :-

* Construct a frequency table

* Mark the lower class limit on the x-axis

(iv) To obtain the median of frequency distribution from the graph :-

* Locate point of intersection of

Less than type Ogive and more than type Ogive :-

* Draw a perpendicular from this point to x-axis.

* The point at which it cuts the x-axis gives us the median.

Statistics

Questions

1 mark questions

Q. 1 Write an empirical relationship between the three central tendency.

Q. 2 Which measure of control tendency is given by the x-coordinate of the point of intersection of the 'more than Ogive' and 'less than Ogive'.

Q. 3 Find median and mode of the following distribution :- 2, 3, 6, 0, 1, 4, 8, 2, 5

Q. 4 Find the median, if Mean = 100 and Mode = 112

Q. 5 A student draw a cumulative frequency curve for the marks obtained by 40 students of a class as shown in figure. Find the median marks obtained by the students.

Q. 6 What is the value of the median of the data using the graph in figure of less than Ogive and more than Ogive.