Question

2.) number of cakes made at a local bakery: 10 15 24 13 25 15 8 11 18 21 7 15
stem leaf
mean:
median:
mode:
range:

Explanation:

Step1: Calculate the mean

Sum of data values: $10 + 15+24 + 13+25+15+8+11+18+21+7+15=182$
Number of data - points $n = 12$
Mean $\bar{x}=\frac{182}{12}=\frac{91}{6}\approx15.17$

Step2: Arrange data in ascending order

$7,8,10,11,13,15,15,15,18,21,24,25$
Since $n = 12$ (even), median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data - points.
$\frac{n}{2}=6$ and $\frac{n}{2}+1 = 7$
Median $=\frac{15 + 15}{2}=15$

Step3: Find the mode

The mode is the number that appears most frequently. Here, 15 appears 3 times, more frequently than any other number, so mode = 15

Step4: Calculate the range

Range=Maximum value - Minimum value
Maximum value = 25, Minimum value = 7
Range $=25 - 7=18$

Answer:

Mean: $\frac{91}{6}\approx15.17$
Median: 15
Mode: 15
Range: 18