How to find mode - ISEE Middle Level Quantitative Reasoning

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Question

Kali decided to keep a log of how much money she spent on lunch at school each day for three weeks. Her data included the following numbers:

Week 1: $2.50, $3.00, $2.75, $3.00, $2.50

Week 2: $3.00, $2.50, $2.75, $2.50, $3.00

Week 3: $2.50, $2.75, $2.50, $3.00, $2.50

What is the mode of this data?

Answer

In order to find mode, we must determine which number occurs most often in the data set. In this particular set, $ occurs times, $ occurs times, and $ occurs times. Since $ occurs the most often, it is the mode for this set of data.

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Question

Which measure of central tendency would you use to find the term that is most occuring?

Answer

Mode is the number that occurs most often, so that is the correct answer. Median is the middle number, while mean is the average of the set. Range is the difference between the greatest and least numbers.

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Question

Consider the data set

Which of the following elements replaces the box to make 30 the mode of the data set?

Answer

Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element) - that is, 40 will be the mode.

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Question

Which is the greater quantity?

(A) The mode of the data set

(B) The median of the data set

Answer

Arrange the elements in ascending order.

The mode of the set is the element that appears most frequently, which here is 15.

The median of the set is the element that appears in the middle, which here is 19.

(B) is greater.

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Question

Give the mode of the data set

Answer

No element in the data set appears more than once; for an element to have a mode, that element must appear at least twice. The set has no mode.

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Question

Which is the greater quantity?

(A) The number of modes of the data set

(B)

Answer

The mode of a data set is the element that appears most frequently. The given data set has no repeated elements; it is considered to have no modes. (B) is greater.

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Question

Which is the greater quantity?

(A) The number of modes of the data set

(B)

Answer

Arrange the data set in ascending order.

18 appears three times; 65 and 79 appear two times each; therefore, 18 is the only mode, and (B) is greater.

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Question

Consider the data set

Which of the following elements replaces the box to make 40 the mode of the data set?

(A)

(B)

(C)

Answer

Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element). By definition, that makes 40 the mode.

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