Question 14i 50 students enter for a school javelin throw competition- The distance in metres thrown are recorded below - - - - - 0-20 20-40 40-60 60-80 80-100- - - - 6 11 17 12 4- - Construct a cumulative frequency table-

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Byju's Answer

Standard IX

Mathematics

Grouped Frequency Table

Question 14i ...

Question

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.

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Solution

$\begin{matrix} D i s t a n c e (i n m) & N u m b e r o f s t u d e n t s (f_{i}) & C u m u l a t i v e f r e q u e n c y (c f) 0 - 20 & 6 & 6 20 - 40 & 11 & 17 40 - 60 & 17 & 34 60 - 80 & 12 & 46 80 - 100 & 4 & 50 \end{matrix}$

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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(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(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(i) 50 students enter for a school javelin throw competition. The distance (in metres) thrown are recorded below : Distance (inm)0−2020−4040−6060−8080−100Number of students 6 11 17 12 4 Construct a cumulative frequency table.

Distance (in m)Number of students(fi)Cumulative frequency(cf)0−20 6 620−40 11 1740−60 17 3460−80 12 4680−100 4 50

$\begin{matrix} D i s t a n c e (i n m) & N u m b e r o f s t u d e n t s (f_{i}) & C u m u l a t i v e f r e q u e n c y (c f) 0 - 20 & 6 & 6 20 - 40 & 11 & 17 40 - 60 & 17 & 34 60 - 80 & 12 & 46 80 - 100 & 4 & 50 \end{matrix}$