Question

In: Statistics and Probability

4. Class Observations Frequency 20-35 20,28,32,35 4 35-50 39,42,46,47,48,48 6 50-65 53,56,57,58,59,62,63,63 8 65-80 67,71,75,77 4...

4.

Class Observations Frequency

20-35 20,28,32,35 4

35-50 39,42,46,47,48,48 6

50-65 53,56,57,58,59,62,63,63 8

65-80 67,71,75,77 4

80-98 81,93 2

1.Construct the relative frequency distribution that corresponds to the frequency distribution from the data set in problem # 4.

2.Construct the cumulative frequency distribution that corresponds to the frequency distribution from the data set in problem # 4.

3.Consider the Histogram using the frequency distribution from the data set in problem # 4. Enter the numbers that label the horizontal axis of the Histogram.

4.Consider the Histogram using the frequency distribution from the data set in problem # 4. Enter the numbers that label the horizontal axis of the Histogram.

Solutions

Expert Solution

1.Construct the relative frequency distribution that corresponds to the frequency distribution from the data set in problem # 4.

Count Class
interal
Frequency Class Width Midpoint Class Boundaries Relative
frequency
Cumulative
frequency
Cumulative RelativeFrequency
1 20-35 4 15 27.5 19.5-35.5 0.17 4 0.17
2 35-50 6 15 42.5 34.5-50.5 0.25 10 0.42
3 50-65 8 15 57.5 49.5-65.5 0.33 18 0.75
4 65-80 4 15 72.5 64.5-80.5 0.17 22 0.92
5 80-98 2 18 89 79.5-98.5 0.08 24 1.00
Total 24 1 0.04

2.Construct the cumulative frequency distribution that corresponds to the frequency distribution from the data set in problem # 4.

Count Class
interal
Frequency Class Width Midpoint Class Boundaries Relative
frequency
Cumulative
frequency
Cumulative RelativeFrequency
1 20-35 4 15 27.5 19.5-35.5 0.17 4 0.17
2 35-50 6 15 42.5 34.5-50.5 0.25 10 0.42
3 50-65 8 15 57.5 49.5-65.5 0.33 18 0.75
4 65-80 4 15 72.5 64.5-80.5 0.17 22 0.92
5 80-98 2 18 89 79.5-98.5 0.08 24 1.00
Total 24 1 0.04

.Consider the Histogram using the frequency distribution from the data set in problem # 4. Enter the numbers that label the horizontal axis of the Histogram.

Formula Reference :


Related Solutions

Consider the data. xi 3 12 6 20 14 yi 65 35 50 15 20 The...
Consider the data. xi 3 12 6 20 14 yi 65 35 50 15 20 The estimated regression equation for these data is ŷ = 70 − 3x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=SST=SSR= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes of this exercise,...
Find the arithmetic mean of observations 8, 1 and 6 with frequency (or weight) 3, 2 and 5 respectively?
Find the arithmetic mean of observations 8, 1 and 6 with frequency (or weight) 3, 2 and 5 respectively?
int 50+20 * (50/4) /4
int 50+20 * (50/4) /4
The Central Limit Theorem A) Create a distribution with 50 observations of 1, 20 observations of...
The Central Limit Theorem A) Create a distribution with 50 observations of 1, 20 observations of 2, 60 observations of 3, 30 observations of 4, 30 observations of 5, and 90 observations of 6 (Hint: use the rep() command). Plot a histogram of this distribution (Hint: adjust the breaks if necessary). B) Take 1,000 samples of size 10 from the distribution (with replacement). Calculate the mean for each sample and plot the distribution of these means. C) Take 1,000 samples...
Given the following grouped frequency distribution Data Frequency 30 - 34 15 35 - 39 20...
Given the following grouped frequency distribution Data Frequency 30 - 34 15 35 - 39 20 40 - 44 15 45 - 49 10 50 - 54 5 55 - 59 4 60 - 64 3 65 - 69 1 70 - 74 1 Find the mean (give you answer to one decimal) = Find the standard deviation (give your answer to two decimals) = What is the shape of this distribution?
Calculate the vapor pressure at 80 C of a mixture of 35 mol % hexane and 65 mol % heptane.
Calculate the vapor pressure at 80 C of a mixture of 35 mol % hexane and 65 mol % heptane. Calculate the mol fraction of each compound in the vapor in equilibrium with the mixture in (1). If a simple distillation were to be performed on this mixture( from question 1 ), what would be the composition of the initial distillate? Suppose the mixture was to be distilled using a very efficient fractional distillation column. what would the composition of...
Consider the grouped frequency distribution. Class Limits 3-5 6-8 9-11 12-14 15-17 f 4 10 10...
Consider the grouped frequency distribution. Class Limits 3-5 6-8 9-11 12-14 15-17 f 4 10 10 5 10 (a) Find the mean. (Give your answer correct to two decimal places.) (b) Find the variance. (Give your answer correct to two decimal places.) (c) Find the standard deviation. (Give your answer correct to two decimal places.)
Percent Dark Moths Percent Light Moths Sooty Forest 65% 35% 3. What was the frequency of...
Percent Dark Moths Percent Light Moths Sooty Forest 65% 35% 3. What was the frequency of the m allele after selection? The relationship of selection coefficient to fitness is expressed in the following equations: s = 1 − w w (also called adaptive value) = 1-s 8.What is the fitness of the recessive genotype (Expressed as a decimal)?
Class Interval Frequency (fi) Cumulative Frequency (F) 120-<130 1 1 130-<140 3 4 140-<150 8 12...
Class Interval Frequency (fi) Cumulative Frequency (F) 120-<130 1 1 130-<140 3 4 140-<150 8 12 150-<160 5 17 160-<170 3 20 ∑fi = 20 For the grouped frequency data set obtained in Question above, calculate and interpret where possible: a)The mean,                                                                                                                                                            (4) b)median                                                                                                                                                                   (4) c)mode                                                                                                                                                                      (4) d)The interquartile range..                                                                                                                                 (10) e)The coefficient of variation.                                                                                                                           (7)
Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70...
Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70 5 Draw a Histogram Draw a polygon After listening to YouTube “histogram and polygon,” explain how histogram is different and similar to polygon.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT