ICSE Class X Math 2016 Paper

The table shows the distribution of the scores obtained by 160 shooters in a shooting competition. Use a graph sheet and draw an ogive for the distribution.
(Take $2\,\mathrm{cm}=10$ scores on the $X$ axis and 2 $c\,m=20$ shooters on the $Y$ -axis).

Scores	No. of shooters
0-10	9
10-20	13
20-30	20
30-40	26
40-50	30
50-60	22
60-70	15
70-80	10
80-90	8
90-100	7

Use your graph to estimate the following :

Question : 30 of 57

Marks: +1, -0

The median.

Solution:

Scores	No. of shooters	c.f.
0-10	9	9
10-20	13	22
20-30	20	42
30-40	26	68
40-50	30	98
50-60	22	120
60-70	15	135
70-80	10	145
80-90	8	153
90-100	7	160

Since, no. of terms,

n=160

which is even.

\therefore\;\; \text{ Median } \;\; = \left(\; \frac{n}{2}\right)^{\; \text{th } \;} \text{ term }

\; = \left(\; \frac{160}{2}\right)^{\; \text{th } \;} \text{ term }

\; = 80 \; \text{ th term }

From the graph, median

=43.5

Go to Question:

Prev Question

Next Question