Question 14iv50 students enter for a school javelin throw competition- The distance in metres thrown are recorded below - array 1- WinelendarrayAre the median distance calculated in ii and iii same-

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Standard X

Mathematics

Best Suited Measure of Central Tendency in Different Cases and the Empirical Relationship between Them

Question 14iv...

Question

Question 14(iv)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

Are the median distance calculated in (ii) and (iii) same?

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Solution

Yes, the median distance calculated by parts (ii) and (iii) are same.

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Question 14(iii)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

Calculate the median distance by using the formula for the median.

Question 14(iv)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

Are the median distance calculated in (ii) and (iii) same?

Question 14(i)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

Construct a cumulative frequency table.

Question 14(ii)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

(ii) Draw a cumulative frequency curve (less than type) and calculate the median distance thrown by using this curve.

Question 14(iii)
50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below :

$\begin{matrix} D i s t a n c e (i n m) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 6 & 11 & 17 & 12 & 4 \end{matrix}$

Calculate the median distance by using the formula for the median.

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Question 14(iv) 50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below : Distance (in m)0−2020−4040−6060−8080−100Number of students 6 11 17 12 4 Are the median distance calculated in (ii) and (iii) same?

Yes, the median distance calculated by parts (ii) and (iii) are same.