Step 1: Calculate the measures of center for Mrs. Hampton's data in the dot plot (round your answer to the nearest tenths place)
. Show your work and briefly explain each step. (Measures of Center are the Mean and Median of a data set)
1 answer:
*dot plot is shown in the attachment below
Answer:
Mean = 6.3
Median = 6
Step-by-step explanation:
Measures of centre, mean and median, can be calculated as follows:
First, bear in mind that each dot represents a value in the data set.
==>Mean:
Mean is the sum of all values in the data set divided by the number of data set we have.
The sum can be calculated as follows:
0 (1) = 0
4 (3) = 12
5(8) = 40
6(3) = 18
7(1) = 7
8(5) = 40
9(2) = 18
10 (3) = 30
Sum = 0+12+40+18+7+40+18+30 = 165
No of data set = 26
Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)
==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.
Thus, the 13th and 14th values are both 6.
Therefore, median = (6+6) ÷ 2 = 6
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Answer:
<h2>The last costumers got 2.25 kilograms of chocolate candies.</h2>Step-by-step explanation:
The question is
<em> There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?</em>
<em />
Givens
- The total amount of chocolate candies is 11.73 kilograms.
- First costumer bought 48 dag of candies. (1 kg equals 100 dags)
- Second costumer bougth 4/5 of the remaining.
- Another three costumers bought the same amount of candy.
Let's transform 48 dag to kilograms.
Therefore, the first costumer bought 0.48 kilograms of candies.
The remaining amount is:
Now, we need to multiply the remaining amount of candies with 4/5
Therefore, the second costumer bought 9 kilograms of chocolate candies.
At last, we need to find the new remaining part of candies, which is
Therefore, the last costumers got 2.25 kilograms of chocolate candies.
Step-by-step explanation:
f(x) = -16x² + 22x + 3
Factor:
f(x) = (8x + 1) (-2x + 3)
The x-intercepts are (-1/8, 0) and (3/2, 0).
The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.
x = (-1/8 + 3/2) / 2
x = 11/16
f(11/16) = 169/16
So the vertex is at:
(11/16, 169/16)
Graph the x-intercepts and the vertex, then draw a curve through the 3 points.
