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.)

Expert Solution

The following table shows the calculations-

Class limits	Class Boundaries	Frequency(f_i)	Mid-point of each class(x_i)	x_if_i	x_i²	x_i²f_i
3-5	2.5-5.5	4	4	16	16	64
6-8	5.5-8.5	10	7	70	49	490
9-11	8.5-11.5	10	10	100	100	1000
12-14	11.5-14.5	5	13	65	169	845
15-17	14.5-17.5	10	16	160	256	2560
Total		39		411		4959

ANSWER a:

Mean= 10.54

ANSWER b:

Variance= 16.06

ANSWER c:

Standard Deviation= 4.01

(All the answers are correct upto 2 decimal places)

orchestra answered 2 years ago

Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...

Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Number of Aides Absent 5 8 11 15 4 2 7 1 4 6 14 19 3 5 8 In which of the following ranges you can find the Upper Control Limit of the control chart? 0.1427 0.1536 0.1677 Not computable with information available In which of the following ranges you can find the Lower Control Limit of the control chart? Does not exit...

student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...

student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Test score 67 67 87 89 87 77 73 74 68 72 58 98 98 70 77 Above we have the final averages of the last stats and I want to know if the class average falls within the boundaries of all my statistics classes for the past 20 years. Find the sample size, mean, and standard deviation of the data above (Table 1)....

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5...

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5 8 1 12 14 Each column represents a different treatment given to sick rats. Each cell is a different rat. Use statistical analysis and use post hoc testing using contrasts to find the best treatment. Treatment 1: vitamins Treatment 2: prescription pills Treatment 3: brain surgery Treatment 4: shock therapy Treatment 5: dietary changes

Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14...

Match No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Player A 8 42 56 68 91 123 12 46 57 137 5 80 14 10 19 Player B 38 44 46 59 57 61 48 42 51 39 58 41 55 45 68 1. For the given data set representing the runs scored by two players in last 15 matches, conduct the following analysis: i. Which average you will use to summarize...

Company ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14...

Company ID 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 5330 6352 6340 3399 6566 7376 6882 1842 7362 8205 6222 7695 1681 2283 2 7972 5941 2861 3290 1019 7399 6442 8003 5092 4634 7569 2538 2619 7932 3 8545 6667 2121 2339 4770 7296 3215 7919 2176 9129 1321 695 7945 1673 4 4578 466 4142 8350 7439 6085 8381 5872 2703 6974 702 5846 7176 9179 5 7302 2727 3103...

Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18%...

Periods 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 12% 14% 15% 16% 18% 20% 1 0.990 0.980 0.971 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.893 0.877 0.870 0.862 0.847 0.833 2 0.980 0.961 0.943 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.797 0.769 0.756 0.743 0.718 0.694 3 0.971 0.942 0.915 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.712 0.675 0.658 0.641 0.609 0.579 4 0.961 0.924 0.888 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.636...

Shoe Size 12 6 11 13 8 9 8 8 9 9 11 5 10 8...

Shoe Size 12 6 11 13 8 9 8 8 9 9 11 5 10 8 7 7 11 9 9 9 12 8 8 8 12 9 11 8 11 8 13 5 9 8 11 We need to find the confidence interval for the SHOE SIZE variable. To do this, we need to find the mean and standard deviation with the Week 1 spreadsheet. Then we can the Week 5 spreadsheet to find the confidence interval. This does...

Data Set: 5, 9, 11, 14, 15, 17, 19, 23 -Construct a frequency table using 5...

Data Set: 5, 9, 11, 14, 15, 17, 19, 23 -Construct a frequency table using 5 as a starting point and a class of width 7 -Construct a relative frequency histogram. Include the midpoints and boundary points - Find the mean, Variance, and standard deviation without a graphing calculator of the sample data Data Set: 5, 9, 11, 14, 15, 17, 19, 23 Data Set: 5, 9, 11, 14, 15, 17, 19, Data Set: 5, 9, 11, 14, 15, 17,...

Promotional expenses(x) Sales(y 7 12 10 14 9 13 4 5 11 15 5 7 3...

Promotional expenses(x) Sales(y 7 12 10 14 9 13 4 5 11 15 5 7 3 4 a) draw the scatter plot and draw the line of best fit b) Calculate and interpret the correlation between promotional expenses and sales C) Calculate the regression equation( calculate the slope and intercept of the regression line d)Interpret the slop coefficient of regression equation e)Using the regression equation calculate the sales volume with respect to promotional expense of 4. f) Obtain the coefficient...

Post Position 1 2 3 4 5 6 7 8 9 10 Wins 19 14 11...

Post Position 1 2 3 4 5 6 7 8 9 10 Wins 19 14 11 15 15 7 8 12 5 11 The table below lists the frequency of wins for different post positions in the Kentucky Derby horse race. Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions. What is the critical value (the X2 value)? [Round to the nearest thousandths place]

Question