NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.2

CBSE X Related Questions

  • 1.

    The following data shows the number of family members living in different bungalows of a locality:
     

    Number of Members0−22−44−66−88−10Total
    Number of Bungalows10p60q5120


    If the median number of members is found to be 5, find the values of p and q.


      • 2.
        The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
         BC touches the circle at D such that BD = 6 cm


          • 3.
            OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

              • \( \left(\frac{120}{7}\right)^\circ \)
              • \( 45^\circ \)
              • \( 60^\circ \)
              • \( 30^\circ \)

            • 4.

              In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


                • 5.

                  Find the mean and mode of the following data:

                  Class15--2020--2525--3030--3535--4040--45
                  Frequency1210151175


                    • 6.

                      Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.

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