Explanation:

Score	1	2	3	4	5	6
Frequency	2	5	x	11	9	10

P(3) = 0.26
\(\frac{x}{37 + x} = 0.26\)
\(x = 0.26(37 + x) \implies x = 9.62 + 0.26x\)
\(x - 0.26x = 9.62 \implies 0.74x = 9.62\)
\(x = \frac{9.62}{0.74} = 13\)
Total toss frequency = 37 + x
= 37 + 13
= 50.
(a) Median = \(\frac{n + 1}{2}\)
= \(\frac{50 + 1}{2}\)
= 25.5
From the table, 25.5 occurs at 4 which is the median.
(b) Standard deviation = \(\sqrt{\frac{\sum fd^{2}}{\sum f}}\)

\(x\)	\(f\)	\(\fx\)	\(d = |x - \bar{x}|\)	\(d^{2}\)	\(fd^{2}\)
1	2	2	-3	9	18
2	5	10	-2	4	20
3	13	39	-1	1	13
4	11	44	0	0	0
5	9	45	1	1	9
6	10	60	2	4	40
\(\sum\)	50	200			100

\(Mean(\bar{x}) = \frac{\sum fx}{\sum f}\)
= \(\frac{200}{50}
= 4
S.D = \(\sqrt{\frac{100}{50}}\)
= \(\sqrt{2}\)
= 1.4142