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find the mean, median, mode, and range for the data set to reveal the f…

Question

find the mean, median, mode, and range for the data set to reveal the four letter code. answers must be \all caps\ with no spaces.
escape room #6

  1. mean
  2. median
  3. mode
  4. range

g 58 h 32 i 58.5
j 46 k 59.7 l no mode
age at inauguration

presidentage
donald j. trump70
barack obama47
george w. bush54
bill clinton46
george h. w. bush64
ronald regan69
jimmy carter52
gerald r. ford61
richard m. nixon56

your answer
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Explanation:

Step1: List all age values

Age data: $78, 70, 47, 54, 46, 64, 69, 52, 61, 56$

Step2: Calculate the mean

Sum values, divide by count.
$\text{Mean} = \frac{78+70+47+54+46+64+69+52+61+56}{10} = \frac{597}{10} = 59.7$

Step3: Calculate the median

Sort data, find middle average.
Sorted data: $46, 47, 52, 54, 56, 58, 61, 64, 69, 70, 78$
$\text{Median} = \frac{56+61}{2} = 58.5$

Step4: Identify the mode

Check for repeated values.
All ages appear once, so no mode.

Step5: Calculate the range

Subtract min from max.
$\text{Range} = 78 - 46 = 32$

Step6: Match to letters

Mean=59.7→K; Median=58.5→I; Mode=No Mode→L; Range=32→H

Answer:

KILH