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The table shows the mean monthly temperatures in Alcudia for the last 2 years in degrees Celsius.
°C Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Last Year 9 10 11 14 19 22 27 29 21 18 11 6
2 Years Ago 7 11 10 13 17 23 25 25 20 18 12 9

What is the difference in the range of temperature between the two years?

°C

What was the modal temperature last year?
°C

What was the median temperature 2 years ago?
°C


Sagot :

Answer:

(a) The difference is 5

(b) No mode

(c) [tex]Median =15[/tex]

Step-by-step explanation:

Given

The above data

Solving (a): Difference in their range

Range is calculated as:

[tex]Range = Highest - Lowest[/tex]

For last year:

[tex]R_1 = 29 - 6 = 23[/tex]

For 2 years ago

[tex]R_2 = 25 - 7 =18[/tex]

The difference is:

[tex]R = R_1 - R_2 = 23 - 18[/tex]

[tex]R = 5[/tex]

Solving (b): The modal of last year

This is the entry with the highest frequency

From "last year" data, each of the entry has a frequency of 1.

This implies that there is no mode

Solving (c): Median of last 2 years

First, arrange in ascending order

[tex]Sorted: 7, 9,10, 11 ,12,13 ,17,18,20 ,23 ,25 ,25[/tex]

The median is then calculated as:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{12+1}{2}th[/tex]

[tex]Median = \frac{13}{2}th[/tex]

[tex]Median = 6.5th[/tex]

This means that we calculate the average of the 6th and 7th entry

[tex]Median = \frac{1}{2} * (13 + 17)[/tex]

[tex]Median = \frac{1}{2} * 30[/tex]

[tex]Median =15[/tex]