The fuel efficiency, in miles per gallon, of small utility trucks was measured. The results are recorded in the table below.
Find the measures of central tendency (mean, median, and mode) and the measures of dispersion (range, variance, and standard deviation) of these data. Round to the nearest tenth.
Fuel Efficiency (mpg)

21

25
24

28
16
24

24
31
23

21
26

23

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roundadworthy roundadworthy · Answer 1 · 2019-12-06T13:07:15+01:00

Answer:

Measures of central tendency:

1. Mean = 23.8 (Rounding to the nearest tenth)

2. Median = 24

3. Mode = 24

Measures of dispersion:

1. Range = 15

2. Variance = 14 (Rounded to the nearest tenth)

3. Standard deviation = 3.7 (Rounded to the nearest tenth)

Step-by-step explanation:

Measures of central tendency:

1. Mean = 286/12 = 23.8 (Rounding to the nearest tenth)

2. Median = 24 (It's the sixth, seventh and eighth element of the series)

3. Mode = 24 (It is repeated three times)

Measures of dispersion:

1. Range (Highest value minus lowest value) = 31 - 16 = 15

2. Variance = Sum of the differences squared between the element and the mean/ Number of elements minus one

Variance = 153.6668/11 = 13.97 = 14 (Rounded to the nearest tenth)

3. Standard deviation = √Variance = √14 = 3.7 (Rounded to the nearest tenth)