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Standard deviation calculation - MYP Questionbank | RevisionDojo

Practice Standard deviation calculation with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Group A contains 4 values with a sum of 40. Group B contains 6 values with a sum of 90. Calculate the combined mean $\mu_{1+2}$ of the two groups when merged.

Question 2

A researcher collects heights of 50 randomly selected students from a university of 10,000 students to estimate the variation in height for the whole university. Which measure of spread is most appropriate to report for this purpose?

Question 3

Calculate the population standard deviation $\sigma$ for the dataset $\{0, 10, 20\}$ .

Question 4

Calculate the sample standard deviation $s_{n-1}$ for the small sample $\{4, 10\}$ .

Question 5

A dataset of five identical values, $7, 7, 7, 7, 7$ , is provided. What is the population standard deviation, $\sigma$ , for this set?

Question 6

A dataset has the following summary statistics: $n = 10$ , $\sum x = 50$ , and $\sum x^2 = 290$ .

Calculate the population standard deviation, $\sigma$ .

Question 7

A population has $n = 10$ and $\sum x^2 = 250$ . Given that the population variance $\sigma^2$ is 9, find the magnitude of the mean $|\mu|$ .

Question 8

The population standard deviation, $\sigma$ , of a set of test scores is calculated to be $0$ . Which of the following statements must be true?

Question 9

Which of the following statements is true regarding the alternative formula for the population standard deviation, $\sigma = \sqrt{\frac{\sum_{i=1}^{n} x_i^2}{n} - \mu^2}$ ?

Question 10

Group A has $n_1=10$ values with a mean $\mu_1 = 60$ . Group B has $n_2=40$ values with a mean $\mu_2=70$ . Calculate the combined mean $\mu_{1+2}$ when these two groups are merged.

Type

Difficulty

Question 1

Group A contains 4 values with a sum of 40. Group B contains 6 values with a sum of 90. Calculate the combined mean $\mu_{1+2}$ of the two groups when merged.

Question 2

Question 3

Calculate the population standard deviation $\sigma$ for the dataset $\{0, 10, 20\}$ .

Question 4

Calculate the sample standard deviation $s_{n-1}$ for the small sample $\{4, 10\}$ .

Question 5

A dataset of five identical values, $7, 7, 7, 7, 7$ , is provided. What is the population standard deviation, $\sigma$ , for this set?

Question 6

A dataset has the following summary statistics: $n = 10$ , $\sum x = 50$ , and $\sum x^2 = 290$ .

Calculate the population standard deviation, $\sigma$ .

Question 7

A population has $n = 10$ and $\sum x^2 = 250$ . Given that the population variance $\sigma^2$ is 9, find the magnitude of the mean $|\mu|$ .

Question 8

The population standard deviation, $\sigma$ , of a set of test scores is calculated to be $0$ . Which of the following statements must be true?

Question 9

Which of the following statements is true regarding the alternative formula for the population standard deviation, $\sigma = \sqrt{\frac{\sum_{i=1}^{n} x_i^2}{n} - \mu^2}$ ?

Question 10

Group A has $n_1=10$ values with a mean $\mu_1 = 60$ . Group B has $n_2=40$ values with a mean $\mu_2=70$ . Calculate the combined mean $\mu_{1+2}$ when these two groups are merged.

Type

Difficulty

Question 1

Group A contains 4 values with a sum of 40. Group B contains 6 values with a sum of 90. Calculate the combined mean $\mu_{1+2}$ of the two groups when merged.

Question 2

Question 3

Calculate the population standard deviation $\sigma$ for the dataset $\{0, 10, 20\}$ .

Question 4

Calculate the sample standard deviation $s_{n-1}$ for the small sample $\{4, 10\}$ .

Question 5

A dataset of five identical values, $7, 7, 7, 7, 7$ , is provided. What is the population standard deviation, $\sigma$ , for this set?

Question 6

A dataset has the following summary statistics: $n = 10$ , $\sum x = 50$ , and $\sum x^2 = 290$ .

Calculate the population standard deviation, $\sigma$ .

Question 7

A population has $n = 10$ and $\sum x^2 = 250$ . Given that the population variance $\sigma^2$ is 9, find the magnitude of the mean $|\mu|$ .

Question 8

The population standard deviation, $\sigma$ , of a set of test scores is calculated to be $0$ . Which of the following statements must be true?

Question 9

Which of the following statements is true regarding the alternative formula for the population standard deviation, $\sigma = \sqrt{\frac{\sum_{i=1}^{n} x_i^2}{n} - \mu^2}$ ?

Question 10

Group A has $n_1=10$ values with a mean $\mu_1 = 60$ . Group B has $n_2=40$ values with a mean $\mu_2=70$ . Calculate the combined mean $\mu_{1+2}$ when these two groups are merged.

Standard deviation calculation Questionbank