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bogdanovich [222]
3 years ago
10

The following set of numbers is going to be graphed on a histogram. If there are going to be four intervals, what will the lengt

h of each interval be?
15, 18, 17, 21, 23, 27, 16, 21, 29, 24, 14, 14, 19, 22

3
4
5
6
Mathematics
1 answer:
Alina [70]3 years ago
8 0

The length of each interval would be 3.75 rounding to whole number is 4.

Step-by-step explanation:

  • Stack in excel from lowest to highest points.
  • Total number of data points are 14.
  • Frequency distribution to be created.
  • You can use countif function for frequency distribution.
  • Since we have already got the number of intervals.
  • It will be easier to calculate the number if intervals.
  • normally there should be 5-15 intervals to get a better histogram.
  • Basic formula is Highest data point - Lowest data point/ classes/intervals.
  • So (29-14)/4 = 3.75 rounding to 4.

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Maru [420]

Answer:

(12, 487)

Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

y = 14.4x + 312 ----› Eqn. 2

Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

Collect like terms

3.7x - 14.4x = -442 + 312

-10.7x = -130

Divide both sides by -10.7

x = 12.1495327

Substitute x = 12.1495327 into eqn. 1.

y = 3.7x + 442 ----› Eqn. 1

y = 3.7(12.1495327) + 442

y = 486.953271

The solution to the system is rounded to the nearest integer:

(12, 487)

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