Statistics – Measures of Central Value (Mean, Median, Mode) Quiz - ICSE Class 11 Economics

Free practice quiz: Statistics – Measures of Central Value (Mean, Median, Mode) (ICSE Class 11 Economics). 58 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. For a dataset with n observations, if the sum of the observations is S, what is the formula for the arithmetic mean?

   1. S - n
   2. S / n
   3. S * n
   4. n / S
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   Answer: B. S / n

   The arithmetic mean is defined as the sum of all observations divided by the number of observations. Therefore, if S is the sum and n is the number of observations, the mean is S/n.

2. For a dataset {1, 1, 2, 3, 3, 3, 4}, what is the mode?

   1. 1
   2. 2
   3. 3
   4. 4
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   Answer: C. 3

   The number 3 appears three times, which is more frequent than any other number in the dataset. Hence, the mode is 3.

3. Which of the following statements is true about the mean?

   1. It is resistant to outliers.
   2. It is the middle value of a dataset.
   3. It is the most frequent value in a dataset.
   4. It is calculated by summing all values and dividing by the number of values.
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   Answer: D. It is calculated by summing all values and dividing by the number of values.

   The definition of the arithmetic mean is the sum of all observations divided by the count of observations. The other options describe the median and mode, or a property (resistance to outliers) that the mean does not possess.

4. Which measure of central tendency is most appropriate for the following data: {Apple, Banana, Apple, Orange, Banana, Apple}?

   1. Mean
   2. Median
   3. Mode
   4. Range
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   Answer: C. Mode

   This is categorical data. The mode, representing the most frequent category, is the most suitable measure of central tendency. Here, 'Apple' is the mode.

5. If a dataset is {5, 10, 15, 20, 25, 30, 35}, what is the median?

   1. 15
   2. 20
   3. 25
   4. 30
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   Answer: B. 20

   The dataset is ordered: {5, 10, 15, 20, 25, 30, 35}. There are 7 observations (odd). The median is the middle value, which is the 4th observation, 20.

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