I think it's true because its the same data set just put in order backwards.
Hope this helps!! :-)
Answer:
The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.
Step-by-step explanation:
The concept of mean is well represented by the following formula
mean =
, where x1, x2, xn are the observations and N is the number of observations (population).
Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:
Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.
In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths
Answer:
This represents the graph area above the line y = 4x - 5 shaded.
Step-by-step explanation:
y > 4x - 5 is an inequality. First we graph y = 4x - 5, which has y-intercept (0, -5) and slope 4. Next, we shade all of the area above this line (because the inequality y > 4x - 5 says that all y values are above 4x - 5).
Then it would be 10-5 < 7
so if you solved it it would be 5 < 7
So this statement is true
Answer:
£3,780
Step-by-step explanation:
Total rows = 19 rows
Seats per row = 28 seats
Cost of tickets per seats = £8.75
Total number of seats at the concert = Total rows × seats per row
= 19 rows × 28 seats
= 532 seats
The tickets for 100 seats have not been sold
Total number of tickets = sold tickets + unsold tickets
532 = sold tickets + 100
532 - 100 = sold tickets
432 = sold tickets
Sold tickets = 432 tickets
Total cost estimate of sold tickets = sold tickets × cost of tickets per seats
= 432 × £8.75
= £3,780