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. (letters may be used twice.)

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

escape room #7
minutes spent on homework
23 32 36 26 68
65 32 18 121 25
128 14 60 25 32
m 114 n 32 o 14
p 15 q 47 r 128
your answer

Explanation:

Step1: List all data points

Data set: $14, 18, 23, 25, 25, 26, 32, 32, 32, 36, 60, 65, 68, 121, 128$

Step2: Calculate the mean

Sum values, divide by count.
$\text{Mean} = \frac{14+18+23+25+25+26+32+32+32+36+60+65+68+121+128}{15} = \frac{705}{15} = 47$

Step3: Calculate the median

Find middle value of sorted data.
$\text{Median} = 32$ (8th value in sorted set)

Step4: Calculate the mode

Find most frequent value.
$\text{Mode} = 32$ (appears 3 times)

Step5: Calculate the range

Subtract min from max.
$\text{Range} = 128 - 14 = 114$

Step6: Match values to letters

$47 \to Q$, $32 \to N$, $32 \to N$, $114 \to M$

Answer:

QNNM