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11 Answer the whole of this question on a sheet of graph paper. Below is an incomplete table of values for y=x²−5x+3.

October 1, 2026Mathematics

ScanSolve AI Answer

Answer

p = 40

q = 86

r = 96

Graph of y = x² − 5x + 3

3 steps

Here's how to find the values of $p$ , $q$ , and $r$ :

Calculate $p$ .
The value $p$ is the cumulative frequency for $h < 125$ . This is the sum of frequencies for the height ranges $110 \le h < 115$ , $115 \le h < 120$ , and $120 \le h < 125$ .
$p = 2 + 14 + 24 = 40$
Calculate $q$ .
The value $q$ is the cumulative frequency for $h < 135$ . This is the cumulative frequency for $h < 130$ plus the frequency for the height range $130 \le h < 135$ .
$q = 70 + 16 = 86$
Calculate $r$ .
The value $r$ is the cumulative frequency for $h < 140$ . This is the cumulative frequency for $h < 135$ (which is $q$ ) plus the frequency for the height range $135 \le h < 140$ .
$r = q + 10 = 86 + 10 = 96$
The values are:
$p = \boxed{40}$
$q = \boxed{86}$
$r = \boxed{96}$