Answer:
First term a = 41
Step-by-step explanation:
Arithmetic Progression:
Common differences d = -2
= 10*(2a - 38)
= 10*2a - 10*38
=20a - 380
= 11 (2a -42)
=11*2a - 11*42
= 22a - 462
22a - 462 = 20a - 380
22a = 20a - 380 + 462
22a = 20a + 82
22a - 20a = 82
2a = 82
a = 82/2
a = 41
First term a = 41
Answer:
The maximum is :
Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:
Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:
Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:
And finally the 5 number summary would be:
Step-by-step explanation:
We have the following data given:
78, 84, 87, 80, 91, 95, and 80.
The first step is order the dataset on increasing way and we got:
78, 80,80, 84,87, 91, 95
We can begin finding the minimum value and for this case is:
The maximum is :
Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:
Now we can find the quartile 1 we analyze the first 4 values 78, 80,80, 84 and the first quartile would be:
Now we can find the quartile 3 we analyze the last 4 values 84,87, 91, 95 and the third quartile would be:
And finally the 5 number summary would be: