Question

This Week’s High Temperatures (°F)

29, 38, 45, 31, 50, 58, 62

Last Week’s High Temperatures (°F)

44, 31, 66, 32, 26, 58, 78

Which measures of center and variability for the temperatures were lower this week than last week? Check all that apply.
mean
median
mode
range
mean absolute deviation

Answer 1

Answer: MEAN, RANGE, MEAN ABSOLUTE DEVIATION

Hence, The measures that were Lower this Week than Last Week are:

MEAN,

RANGE,

MEAN ABSOLUTE DEVIATION

• Step-by-step explanation:

• MAKE A PLAN:

Calculate the measures of the Center and Variability for both weeks:

• SOLVE THE PROBLEM:

Calculate the MEAN, MODE, MEDIAN, RANGE, and MEAN DEVIATION for This week's Temperatures:

• MEAN:

(29 + 38 + 45 + 31 + 50 + 58 + 62) / 7 = 44.71

• MEDIAN:

45

• MODE:

NONE

• RANGE:

62 - 29 = 33

• MEAN ABSOLUTE DEVIATION:

| 29 - 44.71 | + | 38 - 44.71 | + | 45 - 44.71 | + |31 - 44.71| + |50 - 44.71| + |58 - 4471| + |62 - 44.71| = 99.93

• Calculate The MEAN, MEDIAN, MODE, RANGE, and MEAN ABSOLUTE DEVIATION:

• MEAN:

(44 + 31 + 66 + 32 + 26 + 58 + 78) / 7 = 47.57

• MEDIAN:

44

• MODE:

NONE

• RANGE:

78 - 26 = 52

• MEAN ABSOLUTE DEVIATION:

|44 - 47.57| + |31 - 47.57| + |66 - 44.57| + |32 - 47.57| + |26 - 47.57| + |58 - 47.57| + |78 - 47.57| = 104.99

• Draw the conclusion:

Comparing the Measures of Center and Variability for both Weeks:

• Mean this week/last week:

This week (44.71) < Last week (47.57)

• Median this week/last week:

This week (45) > Last week (44)

• Mode:

No MODE for BOTH WEEKS

• RANGE This Week/Last Week:

This week (33) < Last Week (52)

• MEAN ABSOLUTE DEVIATION this week/last week:

(99.93) < Last Week (104.99)

• Hence, The measures that were Lower this Week than Last Week are:

1. MEAN,
2. RANGE,
3. MEAN ABSOLUTE DEVIATION

I hope this helps you!