Practice Problems on Standard Deviation

Problem 1: Given the test scores of a class, 65, 70, 78, 72, 68, 74, 81, 70, calculate the standard deviation.

Problem 2: A farmer measures the weight of ten pumpkins in pounds: 12, 15, 17, 11, 16, 14, 15, 16, 14, 15. Compute the standard deviation to understand the variability in pumpkin weights.

Problem 3: Two teachers recorded the scores of their students on the same exam. Teacher A’s student scores: 88, 92, 76, 94, 85. Teacher B’s student scores: 85, 83, 84, 87, 86. Calculate and compare the standard deviation of scores from both classes.

Problem 4: Consider the ages of participants in a study: 34, 37, 29, 31, 38, 36, 30, 33. Calculate the standard deviation and discuss what this might suggest about the spread of ages in the study.

Problem 5: A basketball player’s points per game over ten games are recorded as follows: 22, 28, 26, 32, 24, 19, 35, 27, 23, 31. Find the standard deviation to evaluate the consistency of the player’s scoring.

Standard Deviation is a measure of how data is spread out around the mean. It is a statistical tool used to determine the amount of variation or dispersion of a set of values from the mean. A low standard deviation indicates that the data points are clustered closely around the mean, while a high standard deviation means that the data points are spread across a wide range of values.

In this article, we will discuss how to calculate Standard Deviation using a formula.