Which could be the missing data item for the given set of data if the median of the complete data set is 50?

Mathematics

2 answers:

gogolik [260]3 years ago

5 0

Answer:

Find the median of this data

21+23+60+60+50+54+54+59+26+15+43+15=480/ 12 = 40

Now the median should be 50 so take 50 - 40 = 10

The missing number from the data is 10

qwelly [4]3 years ago

3 0

Answer: Correct me if i'm wrong, but I think the closest answer would be 45.

Step-by-step explanation:

Arrange data values from lowest to highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

If you need help, try and use this website: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php (It has worked in the past for me.)

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An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

$= (n - 2 )\times 180$

$Therefore, Each \ interior \ angle = (\frac{n - 2}{n} )\times 180$

$Sum \ of \ one \ of \ the \ interior \ angle \ with \ its \ exterior \ angle \ is \ 180^\circ$

$[ \ because \ straight \ line \ angle = 180^\circ \ ]$

That is ,

$Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180 = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9$