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Exercises for Question Type 1: Given some values for data, finding each: mean, mode, median and range - IB | RevisionDojo

Question 1

For the data set $x = \{1, 1, 2, 2, 2, a, 3\}$ , the mode is $2$ and the mean is $2$ . Find the value of $a$ .

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Question 2

For the data set $x = \{1, 4, a, 10, 14\}$ , the mean is 8. Find $a$ .

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Question 3

Monthly incomes (in dollars) of 6 employees are $\{1500, 2000, 1750, 1600, 1750, 1900\}$ . Find the mean, median, mode and range.

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Question 4

Calculate descriptive statistics (mean, median, mode, and range) for a discrete data set.

The ages of $10$ students are $\{12, 13, 13, 14, 15, 13, 12, 14, 15, 16\}$ .

Find the mean, median, mode, and range of these ages.

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Question 5

For the data set $x = \{2, 5, 8, a, 11\}$ , the median is 8 and the mean is 7. Find $a$ .

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Question 6

Given the data set $x = \{1, 3, 4, 4, 4, 5, 6, 8, 9\}$ , find the mean, median, mode, and range.

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Question 7

Given the data set: $2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13$

Find the mean, median, mode, and range of the data set.

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Question 8

For the data set $x = \{3, 9, a, 11, 8\}$ , the mean is twice the median. Find $a$ .

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Question 9

For the data set $x = \{3, 7, a, 12\}$ , the median is 9. Find the value of $a$ .

For the data set $\{3, 7, a, 12\}$ , the median is 9. Find the value of $a$ .

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Question 10

The question requires finding a missing value $a$ in a data set given both the mean and the median, ensuring the solution satisfies both conditions.

For the data set $\{2, a, 6, 9, 12\}$ , the median is $6$ and the mean is $7$ . Find the value of $a$ .

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Question 11

Given the data set $x = \{-2, 0, 5, 7, 7, 10\}$ , find the mean, median, mode and range.

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Question 12

Given the data set $x = \{5, 8, 12, 12, 7, 10, 5, 7\}$ , find the: (a) mean; (b) median; (c) mode(s); (d) range.

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Question Type 1: Given some values for data, finding each: mean, mode, median and range Exercises