1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ket [755]
3 years ago
14

Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5 E

ight car sales men sold cars at a dealership. Here is the distribution of cars sold last month: 6, 45, 52, 43, 48, 41, 50, and 48. Find the mean, median mode(s), range, standard deviation, and variance of the data: Which measure of central tendency best represents the data
Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given tbe data :

21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25

Mean, m = Σx /n

Σx = 136

n = sample size = 13

m = Σx / n = 136 / 13 = 10.46

Mode, = 5 (most frequently occurring with frequency of 5)

Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6

Range = maximum - minimum = [25 - 2] = 23

Variance : (V) = Σ(x - m)²/n-1

V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)

= 745.2308 / 12

= 62.10

Standard deviation = sqrt(V) = sqrt(62.10) = 7.88

2.)

X : 6, 45, 52, 43, 48, 41, 50, 48

Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52

Mean, m = Σx /n

Σx = 333

n = sample size = 8

m = Σx / n = 333 / 8 = 41.625

Median = 1/2 (n+1)th term = 46.5

Range = 52 - 6 = 46

Mode = 48 (highest occurring frequency of 2)

Variance (V) = Σ(x - m)²/n-1

V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5

= 1541.862251 / 7

= 220.27

Standard deviation = sqrt(Variance)

Standard deviation = sqrt(220.26603)

Standard deviation = 14.84

The median

You might be interested in
What are the proofs
guajiro [1.7K]
<span> ; 112 jumps</span><span>  ; 128 jumps</span><span>  ; 151 jumps</span><span>  ; 172 jumps

</span>
6 0
3 years ago
In a bakery, a bag of bread rolls cost x dollars. A loaf of multi-grain bread costs $2 more than a bag of bread rolls. Mr. Lopez
Vaselesa [24]

Step-by-step explanation:

Cost of bag of bread rolls is x

Multigrain is (+2) more.

So (x+2)

Y can be the number of multigrain loves Mr. Lopez buys.

Answer: y=50/(x+2)

6 0
3 years ago
Can someone help me please it is from numbers 16 to 19 please someone
TiliK225 [7]
The <u>correct answers</u> are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The <u>median</u> is the middle point of a data set.  Since there are 24 points, this will be between two values.  These two values are 10 and 10; the median is 10.

The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.

17) The <u>mean </u>is changed; the sum of the data values is 246.  Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5:  15-5=10.  The range is changed the most.

18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>.  This means the answer is 10.

19) The expression for the total number of cars sold is found by adding together all of the points.
6 0
2 years ago
In a normal distribution, which is greater, the mean or the median? Explain.
lianna [129]
B. The mean; in a normal distribution, the mean is always greater than the median
8 0
3 years ago
The top deck of a boat is 9.5 feet above the surface of a lake, while the bottom of the boat is 24 feet below the surface of the
ss7ja [257]
9.5 feet + 24 feet = 33.5 feet

Ans: 33.5 feet

4 0
3 years ago
Other questions:
  • I have two
    12·1 answer
  • Someone help me . I don’t know the answer!!
    6·1 answer
  • You have a credit card with an initial balance of $3,168.00 and an interest rate of 12.75% APR. If you make no payments on the c
    15·1 answer
  • Ironman went to the store and bought 2 shirts that were the same amount and a pair of shoes. The shoes cost 12.50. If his total
    11·1 answer
  • Find the y and x axis of 3 and -5
    15·1 answer
  • Help the photo is right there!
    13·2 answers
  • Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.
    10·1 answer
  • Find two numbers that round to 387.4 when rounded to the nearest ten
    9·1 answer
  • A stack of 500 pieces of paper is 1.9 inches tall. How thick is each piece of paper?
    12·1 answer
  • Can you help me explain
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!