Answer:
B) 54
Step-by-step explanation:
A mode of a number set is the number the appears the most.
In the list given, 54 was the number that appeared the most.
According
to the empirical rule, if the data form a "bell-shaped" normal
distribution, approximately 99.7 percent of the observations will be contained
within 3 standard deviations around the mean.
<span>
To add, a bell curve is used to describe the mathematical concept called
normal distribution, sometimes referred to as Gaussian distribution. </span>
Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - <em>α</em>)% confidence interval for population mean μ is:

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
<em>n</em>₁ = 25
<em>n</em>₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
Width for n = 25:
Width for n = 64:
![\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]](https://tex.z-dn.net/?f=%5Ctext%7BWidth%7D%3D2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7B64%7D%7D%3D%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5B2%5Ccdot%20z_%7B%5Calpha%2F2%7D%5Ccdot%20%5Csigma%5D)
Thus, the sample consisting of 64 data values would give a greater precision
Answer:
um idk bahhahahahahahahahahah its 5 llolololo
Step-by-step explanation:
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Answer:
The histogram of the data is attached below.
Step-by-step explanation:
A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.
The data provided is:
X Frequency
1 12
2 3
3 7
4 9
5 18
6 14
The histogram of the data is attached below.