Let's Revise F Choose the correct preposition to complete the sentences. 1. My uncle knows interesting facts (overlabout) the world's oceans. 2. She takes great interest (at/in) discussing political issues. 3. He is well known (bylfor) being a skilled craftsman. 4. The teacher stressed (on/about) the importance of planning. 5. Tomatoes are rich (in/for) antioxidants that are good for health. 6. I discussed the problem (to/with) my mother. 7. Dry weather conditions are unsuitable (for/to) cultivating paddy. 8. There is such a contrast (to/between) them! 9. We congratulated the team (forlon) their winning . 10. I will always be indebted (in/to) you for your help. the cup
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Explanation:
Median is the middlemost observation in a given set of data.
Given: Observations and median.
To find: The value of a.
Answer:
Observations: 4 , 6 , a , 9 , 10 and 19.
Total number of observations: 6.
Median = \sf\frac{n/2\ + n/2\ +\ 1}{2}
2
n/2 +n/2 + 1
, where n = total number of observations.
NOTE: The above formula is used only if n = an even number.
\begin{gathered}\sf7.5 = \frac{6/2\ +\ 6/2\ +\ 1}{2} \\\\7.5 = \frac{3rd\ term\ +\ 4th\ term}{2} \\\\7.5 = \frac{a\ +\ 9}{2} \\\\7.5 \times2 = a + 9\\\\15 = a + 9\\\\a = 15 - 9\\\\a = 6\end{gathered}
7.5=
2
6/2 + 6/2 + 1
7.5=
2
3rd term + 4th term
7.5=
2
a + 9
7.5×2=a+9
15=a+9
a=15−9
a=6
Therefore, a = 6.
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