MATH SOLVE

5 months ago

Q:
# 1. The lengths, in centimeters, of nine earthworms are shown below. 3, 4, 5, 5, 6, 7, 8, 9, 10 What is the median of the data? A)5 B)6 C)7 D)82. Which measure of central tendency is MOST EASILY affected by outliers?A) mean B) median C) mode D) IQR 3. The math test scores of Mrs. Hunter's class are shown below.48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100What is the range of the scores?A) 44 B) 52 C) 54 D) 624. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.What is the interquartile range of this data set?A) 3.5 B) 6 C) 10.5 D) 11

Accepted Solution

A:

1. Given the lengths:

3, 4, 5, 5, 6, 7, 8, 9, 10Β

The median of the data, will be the middle number. From the data shown the middle number is:

B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:

Range=(maximum value)-(minimum value)

thus:

Maximum value=100

Minimum value=48

therefore plugging in the formula:

Range=100-48=52

Answer: B]

4. From the given heights of 13 plants:

6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.

The IQR is given by:

IQR=(upper quartile)-(lower quartile)

upper quartile=(14+13)/2=13.5

lower quartile=(10+10)/2=10

thus

IQR=13.5-10=3.5

Answer:

A]3.5

3, 4, 5, 5, 6, 7, 8, 9, 10Β

The median of the data, will be the middle number. From the data shown the middle number is:

B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:

Range=(maximum value)-(minimum value)

thus:

Maximum value=100

Minimum value=48

therefore plugging in the formula:

Range=100-48=52

Answer: B]

4. From the given heights of 13 plants:

6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.

The IQR is given by:

IQR=(upper quartile)-(lower quartile)

upper quartile=(14+13)/2=13.5

lower quartile=(10+10)/2=10

thus

IQR=13.5-10=3.5

Answer:

A]3.5