Quantitative Data Test

Here is a stem and leaf plot of the number of grams of salt in a serving of the 109 breakfast protein bar approved by North Carolina Male's Infant and Children Program.

Variable: salt (g)

0: 00000000111111112222333333334444444

0: 55555555555666667778888899999999

1: 0000111222222233334444

1: 5555666666778889

2: 0111 (2|0 = 20 grams

1. Describe the shape, center and spread of the data in content.

2.Describe How to find the range number of grams of these cereals. Range _______

3. Do you think the mean amount of salt to be great than, less than or about equal to the median? _________ Explain.

4. Draw a histogram of the given Data values (hint use grams on the x-axis and Frequency on the y-axis)

Use the Vocabulary words below to match the description provided.

Mean, Median, Mode, Q1, Q2, Standard Deviation, Range, IQR

_________Compares the extremes of the data

__________Where the peaks of a histogram are

__________The center of the lower half of the data

__________The "balancing point" of the data

__________Summarizes the spread of the central 50% of the data

__________Splits a histogram in halves

__________ A good choice for decribing the center of skewed data

__________Summarizes how far each data value is from the average of the data

__________Describes the center of symmetric data better than it describes the center of skewed data.

2. An automotive repair shop reported the repair bills, in dollars, for their customers.

89

289

400

287

213

155

182

285

142

109

302

157

315

119

100

70

234

280

87

79

90

443

173

285

196

a. Sketch a histogram for these data values.

b. Find the mean an stand deviation of the repair costs. ( you may use your handout for the steps)

c. Is it appropriate to use the mean and the standard deviation to summarize these data? Explain

d. Describe or briefly talked about the repair cost at this automotive repair shop.