The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, a
2 answers:
The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.
In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.
Answer:
Kindly check explanation
Step-by-step explanation:
Firstly, we need to write out values if the dataset :
Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.
For the stem plot attached :
Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The mean :
Σx / n
n = sample size = 10
= 225 / 10
= 22.5
Arranging data on ascending order :
08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The median :
1/2(n+1)th term
1/2(11)th term = 5.5 th term = (5+6)th term / 2
Median = (19+22)/2 = 20.5
Mode = all dataset (since they all occur once).
Range = (maximum - minimum) = 40 - 8 = 32
Interquartile range : (Q3 - Q1)
Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term
Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33
Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term
Q1 = (12+17)/2 = 14.5
Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5
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Answer:
$1.10
Step-by-step explanation:
We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.
First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.
Now, we will divide $5.50 by 5 to find cost of each avocado.
Therefore, the cost of each avocado is $1.10.
Answer:
a) 2x^4 + 8x^3 + x^2 + 3x
b) evaluate this polynomial at x = 10
Step-by-step explanation:
Hi!
a)
The product of a sum is the sum of the products, having said this:
b)
We can use the result from part a and consider x = 10.
First lets take the first polynomial
Knowing that every number (excepting probably 0, which could be undefined for some or 1 for others) to the power of 0 is one:
Which is the initial number
Now lets conisder the product of the polynomial times x and evaluate it at x=10:
We can now see that teh rule is treu because we can see the whole number as a sum of numbers from 0 to 9 multiplied by a power of 10, and when it is multiplied by 10, each power increases by one, and at the end, the final result is adding a zero at the end