EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Mean, Median and Mode · Question 8 of 67

Question 8

MediumOriginal question

For a moderately skewed distribution of daily temperatures, the mean is 34.5 °C and the median is 36 °C. Using the empirical relation between the three averages, what is the mode?

Options for question 8

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Empirical relation: Mode = 3 × Median − 2 × Mean.

  2. Mode = 3×36−2×34.5=108−69=393 \times 36 - 2 \times 34.5 = 108 - 69 = 39 °C.

Worth noting

Swapping the roles (3 × Mean − 2 × Median) gives 31.5 °C. 37.5 °C is 2 × Median − Mean, and 70.5 °C just adds the two given values.

Concept
Empirical relation: Mode = 3 Median − 2 Mean
Typical time
70 s
Your time
—
The rule this testsMean, median and mode
Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapter →

Ten questions from Mean, Median and Mode, at your own pace.

Practise this chapterAll 67 questions in Mean, Median and ModeRevise the notes for Mean, Median and Mode