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The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed to 18, what will be the new median? a. 15.5 c. 50 b. 17.5 d.

lubasha [3.4K]

Answer:

Option A) 15.5 is correct

The new median for the new data set is 15.5

Step-by-step explanation:

Given data set is 8,21,17,13

To find the median :

First order the given set of data into least to greatest

The ordered set is 8,13,17,21

Since the given set of data is even

We can take midvalues of data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+17}{2}$

$=\frac{30}{2}$

$=15$

Therefore Median=15 ( given )

Given that if 17 is changed to 18 then the given set of data 8,21,17,13 is changed into new set 8,21,18,13

To find the median :

First order the new set of data into least to greatest

The ordered set is 8,13,18,21

Since the given set of data is even

We can take two midvalues of new data in the set

Median is the mean of two middle values in the data set

$Median=\frac{13+18}{2}$

$=\frac{31}{2}$

$=15.5$

Therefore New Median=15.5

Therefore option A) 15.5 is correct

The new median for the new data set is 15.5

5 0

2 years ago

How you answer this??

AleksandrR [38]

Answer:

$298

Step-by-step explanation:

Profit = Income - Cost

2 tires for 35 each, so total cost is 2*35=70. Sold for 65 each, so income is 2*65=130. Profit is 130 - 70 = $60.

3 rims for 75 each, so total cost is 3*75=225. Sold 136 each, so income is 3*136=408. Profit is 408 - 225 = $183.

5 headlight covers for 4 each, so total cost is 5*4=20. Sold for 15 each, so income is 5*15=75. Profit is 75 - 20 = $55.

Total profit = 60 + 183 + 55 = $298

5 0

3 years ago

Can you please help?

yan [13]

Answer:

f = (9c/5) + 32

Step-by-step explanation:

im pretty sure maybe

8 0

2 years ago

What are all the primes of 52

AleksandrR [38]

52 can be broken down to the following
2*26 =52
2*(2*13) <---13 x 2=26 x 2=52
2*2*13 or 2^2*13 <--BOTH mean the same thing :)

6 0

3 years ago

2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyc

Scorpion4ik [409]

Answer

Step-by-step explanation:

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists

5 0

2 years ago