Question

Midterm ex review. MATH 101 Use the following information to answer the next four exercises. The midterm grades on a chemistry exam, graded on a scale of 0 to 100, were: 62, 64, 65, 65, 68, 70, 72, 72, 74, 75, 75, 75, 76,78, 78, 81, 82, 83, 84, 85, 87, 88, 92, 95, 98, 98, 100, 100,740 1. Do you see any outliers in this data? If so, how would you address the situation? 2. Construct a stem plot for this data, using only the values in the range 0-100. 3. Describe the distribution of exam scores. 4. Your daughter brings home test scores showing that she scored in the 80 percentile in math and the 76 percentile in reading for her grade. Interpret these scores. 5. You must wait 90 minutes in the emergency room of a hospital before you can see a doctor. You learn that your wait time was in the B2nd percentile of all wait times. Explain what this means, and whether you think it is good or bad. 6. Use the following information to answer the next three exercises. 1; 1; 2; 3; 4; 4; 5; 5; 6; 7; 7; 8; 9 What is the median for this data? What is the first quartile for this data? 3 What is the third quartile for this data? 7 6. Use the following information to answer the next three exercises. The value, in thousands of dollars, for houses on a block, are: 45; 47; 47.5; 51; 53.5; 12 Which do you think better reflects the average value of the homes on this block? The median, because the mean is distorted by the high value of one house. Compute the mean and standard deviation for this data; use the sample formula for the standard deviation. A. 15 What number is two standard deviations above the mean of this data? 4.3 Express the number 13.7 in terms of the mean and standard deviation of this data.

i need help on question 3 to 22 please.

Answer 1

Descriptive statistics

1. Here we can see that there is a grade of 740 on a scale of 0-100. So it is an outlier.

Since we don't have any option of estimating the actual value of the outlier point, we have to ignore it i.e. remove it from the data set.

2. We get the stem plot as:

Stem Leaf 6 2 4 5 58 7 0224 555 688 8 1334 5 7 8 9 2588 10 00

3. From the given data we can get that:

Mean= 80.11; median= 78 & mode= 75.

Thus here mean > median > mode.

So the distribution is positively skewed.

4. The interpretation is:

In math she scored higher that 80% of the students and in reading she scored higher than 76% of the students in the class.