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Mathematics

The daily minimum temperature recorded (in degrees F) at a place during a week was as under :

MondayTuesdayWednesdayThursdayFridaySaturdaySunday
35.530.828.331.123.829.932.7

Find the mean temperature of the week.

Measures of Central Tendency

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Answer

We know that,

Mean = xin\dfrac{\sum x_i}{n}

We have,

Mean of temperatures =Sum of temperatures of all daysNumber of days=35.5+30.8+28.3+31.1+23.8+29.9+32.77=212.17=30.3F\Rightarrow \text{Mean of temperatures } = \dfrac{\text{Sum of temperatures of all days}}{\text{Number of days}} \\[1em] = \dfrac{35.5 + 30.8 + 28.3 + 31.1 + 23.8 + 29.9 + 32.7}{7} \\[1em] = \dfrac{212.1}{7} \\[1em] = 30.3 ^{\circ} F

Hence, mean temperature of the week is 30.3 °F.

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