Solution:

Given,
- The probability of getting a head is p.
- The coin is tossed 100 times.

To find:
- The standard deviation of the number of heads turned up.

Formula used:
- The standard deviation of a binomial distribution is √(npq), where n is the number of trials, p is the probability of success, and q is the probability of failure.

Calculation:
- Here, n = 100 and p = probability of getting a head.
- q = 1 - p (probability of getting a tail)
- Therefore, mean = np = 100p

Using the formula for standard deviation, we get:

Standard deviation = √(npq)

= √(100pq)

= √(100p(1-p))

= 10√(p(1-p))

Answer:
The standard deviation of the number of heads turned up is 10√(p(1-p)).

Explanation:
- The standard deviation is a measure of the spread of the data around the mean.
- In this case, the binomial distribution gives the number of heads turned up in 100 tosses of the coin.
- The formula for standard deviation of a binomial distribution is used to calculate the standard deviation.
- The standard deviation depends on the probability of getting a head and the number of trials.
- As the number of trials increases, the standard deviation decreases.
- Similarly, as the probability of getting a head increases, the standard deviation decreases.
- The formula for standard deviation of a binomial distribution is used in many areas, such as quality control, finance, and medical research.